Question

Find the second order derivative of the given functions.

log x.

Answer 1

Let y = log x

Differentiating twicely w.r.t. x, we get

$\frac{dy}{dx}=\frac{1}{x}and\frac{d^{2}y}{d{x}^2}=\frac{d}{dx}\left(\frac{1}{x}\right)=\frac{-1}{x^2}$