Answer
$f'(x) = -3x^{0.5}+6x^{-0.5}$
Work Step by Step
In order to derivate this function you have to apply the power rule:
$\dfrac{d}{dx}(x^n)=nx^{n-1}$
$f'(x) = -2(1.5)x^{0.5}+12(0.5)x^{-0.5}$
$f'(x) = -3x^{0.5}+6x^{-0.5}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.