Product Rule for Derivatives/Examples/x times Exponential of x times Sine of x

Examples of Use of Product Rule for Derivatives

 * $\map {\dfrac \d {\d x} } {x e^x \sin x} = e^x \paren {\paren {1 + x} \sin x + x \cos x}$

Proof
Let $u = x$.

Let $v = e^x$.

Let $w = \sin x$.

Thus we have:
 * $y = u v w$

and so: