RD SHARMA Solutions for Class 12-science Maths Chapter 12 - Higher Order Derivatives

Page / Exercise

Chapter 12 - Higher Order Derivatives Exercise Ex. 12.1

Question 1(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 1(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 1(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 1(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 1(iii)

Find the second order derivative of log(sinx).

Solution 1(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 1(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 1(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 1(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 1(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 1(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 1(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 1(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 1(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 1(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 1(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

              Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 1(ix)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 1(ix)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 14

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives, find Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Question 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives


Question 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order DerivativesRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 52

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 52

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Chapter 12 - Higher Order Derivatives Exercise MCQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 5

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 6

If y = a + bx2, a,b arbitarary constansts, then

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 7

If f (x) = (cos x + i sin x) (cos 2x + i sin 2x) (cos 3x + i sin 3x)…. (cos nx + i sin nx) and f (1) = 1, then f'' (1) is equal to

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives 

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 11

Let f (x) be a polynomial. Then, the second order derivative of f (ex) is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 11

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 12

If y = a cos (loge x) + b sin (loge x), then x2 y2 + xy1 =

(a) 0

(b) y

(c) - y

(d) none of these

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 14

If x = f (t) and y = g (t), then 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 15

If y = sin (m sin -1 x), then (1-x2) y2 - xy1 is equal to

(a) m2y

(b) my

(c) -m2y

(d) none of these

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 16

If y = (sin-1 x)2, then (1-x2 )y2 is equal to

(a) xy1 + 2

(b) xy1 - 2

(c) - xy1 + 2

(d) none of these

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 17

If y = e tanx, then (cos2 x) y2 =

(a) (1 - sin 2x) y1

(b) - 1 (1 + sin 2x) y1

(c) (1+ sin 2x) y1

(d) none of these

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 18

 Question is incorrect.

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives 

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 22

If y1/n + y-1/n = 2x, then (x2 - 1) y2 + xy1 =

(a) -n2y

(b) n2y

(c) 0

(d) none of these

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 24

If y = xn-1 log x then x2y2+(3 -2n) xy1 is equal to

(a) -3

(b) 1

(c) 3

(d) none of these

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 25

If xy - log e y = 1 satisfies the equation x (yy2 + Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives) - y2 + l yy1 = 0, then l =

(a) -3

(b) 1

(c) 3

(d) none of these

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 26

If y2 = ax2 + bx + c, then Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

(a) a constant

(b) a function of x only

(c) a function of y only

(d) a function of x and y

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Chapter 12 - Higher Order Derivatives Exercise Ex. 12VSAQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Higher Order Derivatives