Question

Differentiate : $y=x\sin x$ w.r.t $x$

Answer 1

$y=x\sin x$

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

$\Rightarrow \frac{dy}{dx}=x\cos x+\sin x$

$\therefore \frac{dy}{dx}=x\cos x+\sin x$