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

Oct 18, 2015

$\frac{2}{x}$

#### Explanation:

Using the rule $\frac{d}{\mathrm{dx}} \ln \left(u \left(x\right)\right) = \frac{1}{u} \cdot \frac{\mathrm{du}}{\mathrm{dx}}$, we get

$\frac{d}{\mathrm{dx}} \ln \left({x}^{2}\right) = \frac{1}{x} ^ 2 \cdot \frac{d}{\mathrm{dx}} {x}^{2}$

$= \frac{1}{x} ^ 2 \cdot 2 x$

$= \frac{2}{x}$