Question

Differentiate the given function w.r.t. $x$.
$e^{x^3}$

Answer 1

Let $y=e^{x^3}$
By using the chain rule, we obtain
$\frac{dy}{dx}=\frac{d}{dx}\left(e^{x^3}\right)$

$=e^{x^3}\frac{d}{dx}\left(x^3\right)$

$=e^{x^3}.3x^2$

$=3x^2{e}^{x^3}$