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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the derivatives of the following: If y = sin–1x then find y” - Mathematics

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Question

Find the derivatives of the following:

If y = sin–1x then find y”

Sum

Solution

y = sin–1x

y" = `1/sqrt(1 - x^2)`

y" = `(1 - x^2)^(- 1/2)`

y" = `- 1/2 (1 - x^2)^(- 1/2 - 1) (0 - 2x)`

y" = `- 1/2 (1 - x^2)^(- 3/2) xx - 2x`

y" = `x/(1 - x^2)^(3/2)`

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Differentiation Rules
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Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.4 [Page 176]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.4 | Q 23 | Page 176

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