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

$\frac{d}{\mathrm{dx}} \ln \left({\sin}^{2} \left(x\right)\right) = 2 \cot \left(x\right)$
$\frac{d}{\mathrm{dx}} \ln \left({\sin}^{2} \left(x\right)\right) = \frac{\frac{d}{\mathrm{dx}} {\sin}^{2} \left(x\right)}{{\sin}^{2} \left(x\right)} = \frac{2 \sin \left(x\right) \cos \left(x\right)}{{\sin}^{2} \left(x\right)} = \frac{2 \cos \left(x\right)}{\sin \left(x\right)}$