Question

Let $y=e^{x\sin x}$ then find the derivative of $y$ with respect to $x$.

Answer 1

Given,

$y=e^{x\sin x}$.

Now differentiating both sides with respect to $x$ we get,

$\frac{dy}{dx}=e^{x\sin x}\{x\cos x+\sin x\}$.

This is the required derivative of $y$ with respect to $x$.