Question

Differentiate w.r.t to x:
$x\sin x$.

Answer 1

Let $y=x\sin x\to 1$

If $y=f\left(x\right)g\left(x\right)$ then $\frac{dy}{dx}=f^{\prime }\left(x\right)g\left(x\right)+g^{\prime }\left(x\right)f\left(x\right)$

Differentiate $1$ w.r.t. x

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