Question

Find $\frac{dy}{dx}$, if $y=\tan x{e}^x$.

Answer 1

$\frac{dy}{dx}={\text{sec}}^2\left(x{e}^x\right)\frac{d}{dx}\left(x{e}^x\right)={\text{sec}}^2\left(x{e}^x\right)(e^x+x{e}^x)$