Derivatives of logarithmic functions for JEE

Formula

\[\frac{d}{dx}(\ln x)=\frac1x,\qquad \frac{d}{dx}(\log_a x)=\frac{1}{x\ln a}\]

Variables: \(a>0,a\neq 1\).

Conditions: Require \(x>0\).

Logarithmic differentiation and direct differentiation.