Answer
$y' = -24x^{-5}+21x^{-4}-3x^{-2}$
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
$y = 6x^{-4}-7x^{-3}+3x^{-1}+\sqrt{5}$
then:
$y' = 6(-4)x^{-5}-7(-3)x^{-4}+3(-1)x^{-2}$
$y' = -24x^{-5}+21x^{-4}-3x^{-2}$
