How do you differentiate f(x)=e^xe^(x^2) using the product rule?

$f ' = {e}^{x} {e}^{{x}^{2}} + {e}^{x} {e}^{{x}^{2}} \left(2 x\right) = {e}^{{x}^{2} + x} \left(2 x + 1\right)$