Answer
$y' = -50x^{-1/2}-\dfrac{22}{3}x^{-1/3}$
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
$y = -100x^{1/2}-11x^{2/3}$
$y' = -100(\dfrac{1}{2})x^{-1/2}-11(\dfrac{2}{3})x^{-1/3}$
$y' = -50x^{-1/2}-\dfrac{22}{3}x^{-1/3}$
