Question

Find the second order derivative of the given functions.

$x^{20}$

Answer 1

Let y = $x^{20}$

Differentiating twicely w.r.t. x, we get $\frac{dy}{dx}=20x^{19}and\frac{d^{2}y}{d{x}^2}=\frac{d}{dx}\left(20x^{19}\right)=20\left(19x^{18}\right)=380x^{18}$