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Differentiate the function with respect to x. cos (sin x)

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Question

Differentiate the function with respect to x.

cos (sin x)

Sum
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Solution

Let, y = cos (sin x)

Let, sin x = t

∴ y = cos t

`dy/dt` = −sin t, `dt/dx` = cos x

`∴ dy/dx = dy/dt * dt/dx`

= −sin t · cos x

= −sin (sin x) cos x

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Chapter 5: Continuity and Differentiability - Exercise 5.2 [Page 166]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 5 Continuity and Differentiability
Exercise 5.2 | Q 2 | Page 166

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