Question

Differentiate $\cos \sqrt{x}$ w.r.t $x$

Answer 1

Let $y=\cos \sqrt{x}$

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

$=\frac{-\sin \sqrt{x}}{2\sqrt{x}}$