How do you find the derivative of e^(x^2)?

May 13, 2018

$2 x {e}^{{x}^{2}}$

Explanation:

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

Apply chain rule and standard differential.

$f ' \left(x\right) = {e}^{{x}^{2}} \cdot \frac{d}{\mathrm{dx}} \left({x}^{2}\right)$

$= {e}^{{x}^{2}} \cdot 2 x$

$= 2 x {e}^{{x}^{2}}$