Question

Differentiate ${\sin }^{2}xw.r.t.e^{\cos x}$.

Answer 1

Let $U={\sin }^{2}x$
$\frac{dU}{dx}=2\sin x\cos x$
$V=e^{\cos x}$
$\frac{dV}{dx}=e^{\cos x}(-\sin x)$
$\frac{dU}{dx}=\frac{2\sin x\cos x}{e^{\cos x}(-\sin x)}=\frac{2\cos x}{-e^{\cos x}}$