Question

Find $\frac{dy}{dx}$ for $y=\sin \left(\cos x\right)$.

Answer 1

Given $y=\sin \left(\cos x\right)$

Now differentiating both sides with respect to $x$ we get,

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

or, $y=-\sin x.\cos \left(\cos x\right)$