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

A

$$\displaystyle \frac{21}{8}$$

B

$$\displaystyle \frac{27}{8}$$

C

$$\displaystyle \frac{15}{4}$$

D

$$\displaystyle \frac{9}{4}$$

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