# What is the derivative of e^(t^2)?

Aug 13, 2016

$f ' \left(t\right) = 2 t {e}^{{t}^{2}}$
$f \left(t\right) = {e}^{{t}^{2}}$
$f ' \left(t\right) = {e}^{{t}^{2}} \cdot \frac{d}{\mathrm{dt}} \left({t}^{2}\right)$ (Chain rule)
$= 2 t {e}^{{t}^{2}}$ (Power rule)