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Evaluating a Derivative at a Point

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Let $f$ be the function given by f(x)=x32−6x\displaystyle f(x) = x^{\frac{3}{2}} - \frac{6}{\sqrt{x}}. What is the value of $f'(4)$?

A

154\displaystyle \frac{15}{4}

B

94\displaystyle \frac{9}{4}

C

218\displaystyle \frac{21}{8}

D

278\displaystyle \frac{27}{8}

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