Question

If y=xe^x find dy/dx​

Answer 1

By product rule:

$\frac{d}{dx}(xe^x)=\frac{d}{dx}(x)\cdot e^x+x\cdot \frac{d}{dx}(e^x)=1\cdot e^x+x\cdot e^x=\boxed{e^x(1+x)}$