NCERT Solutions for Class 12-science Maths Chapter 6 - Applications of Derivatives

Your CBSE Class 12 syllabus for Maths consists of topics such as linear programming, vector quantities, determinants, etc. which lay the foundation for further education in science, engineering, management, etc. Studying differential equations will be useful for exploring subjects such as Physics, Biology, Chemistry, etc. where your knowledge can be applied for scientific investigations.

On TopperLearning, you can find study resources such as sample papers, mock tests, Class 12 Maths NCERT solutions and more. These learning materials can help you understand concepts such as differentiation of functions, direction cosines, integrals, and more. Also, you can practise the Maths problems by going through the solutions given by our experts.

Maths is considered as one of the most difficult subjects in CBSE Class 12 Science. Our Maths experts simplify complex Maths problems by assisting you with the right methods to solve problems and score full marks. You may still have doubts while referring to the Maths revision notes or Maths NCERT solutions. Solve those doubts by asking an expert through the “Undoubt” feature on the student dashboard.

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Chapter 6 - Applications of Derivatives Exercise Ex. 6.1

Solution 1

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 3

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 4
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 5
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 6
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 9

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 10

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 11
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 12
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 13
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 14
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 15
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 16
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 17
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 18
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Chapter 6 - Applications of Derivatives Exercise Ex. 6.2

Solution 1

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 3
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 4
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 5
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 6

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of DerivativesNcert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 7

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 9

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 10
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 11
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 12

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 13
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 14
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 15
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 16
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 17

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 18
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 19
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Chapter 6 - Applications of Derivatives Exercise Ex. 6.3

Solution 1
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 3
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 4
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 5

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 6

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 9
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 10
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 11
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 12
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 13

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 14
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 15
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 16

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 17
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 18
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 19
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 20
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 21
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 22
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 23
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 24
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 25
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 26
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 27
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Chapter 6 - Applications of Derivatives Exercise Ex. 6.4

Solution 1
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 3
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 4
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 5

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 6
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 9
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Chapter 6 - Applications of Derivatives Exercise Ex. 6.5

Solution 1

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 3

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 4

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 5
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 6

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 9
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 10
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 11
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 12

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 13
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 14
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 15

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 16
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 17
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 18
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 19
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 20
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 21

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 22

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 23

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 24
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 25

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
 
Solution 26
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 27
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 28
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 29
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Chapter 6 - Applications of Derivatives Exercise Misc. Ex.

Solution 1
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 3
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 4

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

OR

If we consider the equation of the curve as x2 = 4y

Differentiating with respect to x, we have:

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Now, the slope of the normal at point (1, 2) is Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives Equation of the normal at (1, 2) is Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 5
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 6

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of DerivativesNcert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 8

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 9

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 10

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 11

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 12
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 13
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 14
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 15

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 16

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives

Solution 17
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 18
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 19
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 20
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 21
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 22
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 23
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Solution 24
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Applications Of Derivatives
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Some of the best Maths experts work with us to give you the best solutions for Maths textbook questions and sample paper questions. Chapter-wise NCERT solutions for Class 12 Science Maths can be easily accessible on TopperLearning. Use these solutions to practise problems based on concepts such as direction ratios, probability, area between lines, inverse trigonometric functions, and more.

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