Differentiate the function with respect to x : ( x ). - Vidyadip

Question

Differentiate the function with respect to x : $\cos \left( {\sin x} \right)$.

✓

Answer

Let $y = \cos \left( {\sin x} \right)$

$\therefore \frac{{dy}}{{dx}} = - \sin \left( {\sin x} \right)\frac{d}{{dx}}\sin x$

$= - \sin \left( {\sin x} \right)\cos x$

$= - \cos x.\sin \left( {\sin x} \right)$

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