RD SHARMA Solutions for Class 12-science Maths Chapter 11 - Differentiation

Chapter 11 - Differentiation Exercise Ex. 11VSAQ

Question 30

If f(x) = x + 7 and g(x) = x - 7, x R, then find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Solution 30

Given: f(x) = x + 7 and g(x) = x - 7

Now, (fog)(x) = f(g(x)) = f(x - 7) = x - 7 + 7 = x

Therefore, (fog)(x) = x

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 24

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 28

Write the derivative of sin x with respect to cos x.

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 29

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation then find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Solution 29

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Chapter 11 - Differentiation Exercise MCQ

Question 33

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation then Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation is equal to

  1. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 
  2. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 
  3. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 
  4. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 
Solution 33

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Differentiating w.r.t x, we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 1

If f(x) = logx2 (log x), then f' (x) at x = e is

a. 0

b. 1

c. 1/e

d. 1/2 e

Solution 1

Correct option: (d)

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 2

The differential coefficient of f (log x) with respect to x, where f (x) = log x is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 2

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 3

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 4

Differential coefficient of sec (tan-1 x) is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 4

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 5

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 6

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 7

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 8

Given f(x) = 4x8, then

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 8

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

 

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 9

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 10

Correct option:(a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 11

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 12

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 13

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

  1. 1/2
  2. x

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

  1. 1
Solution 14

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 15

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 16

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 17

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 18

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 19

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 20

The derivative of cos-1 (2x2 - 1) with respect to cos-1 x is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 20

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 21

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 22

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 23

Correct option:(d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 24

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

a. 1

b. 0

c. xl+m+n

d. none of these


Solution 25

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation


a. 1

b. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

c. 0

d. none of these

Solution 26

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 27

Correct option:(a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 28

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 29

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 30

Correct option: (a) 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

 

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 31

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 32

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Chapter 11 - Differentiation Exercise Ex. 11.1

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 8

Differentiate f(x)=x2ex from first principles.

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Chapter 11 - Differentiation Exercise Ex. 11.2

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 16


Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 37
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 37
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 43
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 43
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 45
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 45
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 49
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 49
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 50
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 50
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 51
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 51
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 52
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 52
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 53

Differentiate the following functions with respect to x:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 53

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 54
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 54
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 55
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 55
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 56
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 56
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 57
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 57
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 58
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 58
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 59
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 59
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 60
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 60
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 61
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 61
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 63
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 63
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 64
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 64
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 65
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 65
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 66
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 66
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 67
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 67
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 68
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 68
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 69
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 69
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 70
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 70
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 71
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 71
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 72
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 72
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 73
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 73
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 74
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 74
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 62

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation prove that Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 62

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Differentiating w.r.t x, we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Hence, Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 75

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 75

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 76

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation then find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 76

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Chapter 11 - Differentiation Exercise Ex. 11.3

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 37(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 37(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 37(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 37(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

show that dy/dx is independent of x.

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 43
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 43
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 45

If y = tan-1 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 12

Differentiate the following function with respect to x:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Solution 12

Let Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 48

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation then find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 48

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation………. (i)

Let Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

From (i), we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Chapter 11 - Differentiation Exercise Ex. 11.4

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - DifferentiationRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation.

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 30


Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 29

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiationfind Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation at x =1, Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 29

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Differentiating w.r.t x. we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

When x =1 and Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Chapter 11 - Differentiation Exercise Ex. 11.5

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18(viii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18(viii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 29(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 29(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 29(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 29(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 43
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 43
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 45
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 45
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 49
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 49
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 50
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 50
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 51
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 51
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 52
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 52
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 53
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 53
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 54
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 54
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 55
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 55
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 56
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 56
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 57

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 57

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 58

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 58

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 59

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 59

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 60

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 60

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 61

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 61

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 28

Find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation when Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 28

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Let Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Differentiating 'u' w.r.t x, we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Differentiating 'v' w.r.t x, we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

From (i), (ii) and (iii), we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 62

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 62

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Let Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Taking log on both the sides of equation (i), we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Taking log on both the sides of equation (ii), we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Differentiating (iii) w.r.t x, we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Using (iv) and (v), we have

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Chapter 11 - Differentiation Exercise Ex. 11.6

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Chapter 11 - Differentiation Exercise Ex. 11.7

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 29

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation when Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Solution 29

Given: Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Differentiate 'x' w.r.t Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation, we get

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Differentiate 'y' w.r.t Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation, we get

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Dividing (ii) by (i), we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

At Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Chapter 11 - Differentiation Exercise Ex. 11.8

Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 4(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 4(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 4(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 5(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 5(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - DifferentiationRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 5(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 5(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 5(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 7(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 7(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Question 7(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 7(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation
Question 1

Differentiate Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation with respect to Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 1

We need to find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Let Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

So, we need to find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Question 21

Differentiate Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation with respect to Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Solution 21

We need to find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Let Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation

Differentiating 'u' and 'v' w.r.t x, we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation 

Dividing (i) by (ii), we get

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differentiation