# What is the derivative of f(x)=(ln(x))^2 ?

Sep 13, 2014

Use the Power Rules and Chain Rules to find the derivative of $f \left(x\right)$

$y = {\left(\ln \left(x\right)\right)}^{2}$

$y ' = 2 {\left(\ln \left(x\right)\right)}^{\left(2 - 1\right)} \cdot \left(\frac{1}{x}\right)$

$y ' = 2 \left(\ln \left(x\right)\right) \cdot \left(\frac{1}{x}\right)$

$y ' = \frac{2 \ln \left(x\right)}{x}$