Question

If $y=\sin \left(\cos x\right)$, find $\frac{dy}{dx}$

Answer 1

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

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

$=\left[\cos \right(\cos x\left)\right]\frac{d}{dx}\left(\cos x\right)$

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