# How do you differentiate y = ln(x^(1/2))?

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