# How do you find the derivative of ln^2 x?

$y ' = \frac{2 \ln \left(x\right)}{x}$
I would use the Chain Rule to deal first with the derivation of ${\left(\right)}^{2}$ and then multiply times the derivative of the log:
$y ' = 2 {\left[\ln \left(x\right)\right]}^{2 - 1} \cdot \frac{1}{x} = \frac{2 \ln \left(x\right)}{x}$