Question

Differentiate the following questions w.r.t. x.

$e^{x^3}$

Answer 1

Ley y = $e^{x^3}$

Differentiate both sides w.r.t. x, we get

$\Rightarrow \frac{dy}{dx}=\frac{d}{dx}\left(e^{x^3}\right)=e^{x^3}\left(3x^2\right)=3x^2{e}^{x^3}$

$(Usingchainrule\frac{d}{dx}{e}^{a}x=e^{a}x\frac{d}{dx}(ax\left)\right)$