Question

Find $\frac{d^{2}y}{d{x}^2}$ if $y=e^{nx}$

Answer 1

$y=e^{nx}\frac{dy}{dx}=\frac{d{e}^{nx}}{dx}=n{e}^{nx}\frac{d^{2}y}{d{x}^2}=\frac{d}{dx}\left(\frac{dy}{dx}\right)=n^2{e}^{nx}$