Answer
The derivative is $\frac{-5}{x^{6}}$
Work Step by Step
This involves a bit of algebraic rearrangement but could be solved using the power rule. $\frac{1}{x^5}$ can be rewritten as $x^{-5}$. Hence using the power rule we get the derivative to be $-5*x^{-6}$ which can be rewritten as $\frac{-5}{x^{6}}$
