# What is the derivative of sqrt(x^5)?

Write it as: ${x}^{\frac{5}{2}}$ and the derive it as ${x}^{n}$ (giving $n {x}^{n - 1}$):
$y ' = \frac{5}{2} {x}^{\frac{5}{2} - 1} = \frac{5}{2} {x}^{\frac{3}{2}} = \frac{5}{2} \sqrt{{x}^{3}}$