Answer
$f'(x)=2x-5x^{-2}$
Work Step by Step
In order to derivate this function you have to apply the power rule:
$\dfrac{d}{dx}(x^n)=nx^{n-1}$
But first let's rewrite the function
$f(x) = \dfrac{x^3}{x}+\dfrac{5}{x}$
$f(x) = x^2+5x^{-1}$
then:
$f'(x)=2x-5x^{-2}$
