# What are the local extrema of f(x)= e^(x^2)-x^2e^x?

Oct 11, 2017

Let's see.

#### Explanation:

Let the function be $y$.

$\therefore y = f \left(x\right) = {e}^{{x}^{2}} - {x}^{2} {e}^{x}$.

Now find the $\frac{\mathrm{dy}}{\mathrm{dx}}$ and the $\frac{{d}^{2} y}{\mathrm{dx}} ^ 2$.

Now follow some steps given in the following URL $\rightarrow$

Hope it Helps:)