# How do you find the derivative of root3(x^-5)?

$- \frac{5}{3} \sqrt[3]{{x}^{-} 8}$
Note that the given function is of the form ${x}^{n}$ with $n = - \frac{5}{3}$
Using $\frac{d}{\mathrm{dx}} \left({x}^{n}\right) = n {x}^{n - 1}$ immediately leads to the answer.