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Power Rule for Rational Exponents

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Let $f$ be the function given by $\displaystyle f(x) = 3\sqrt[3]{x^2} + \frac{7}{\sqrt[3]{x}}$ . What is the value of $f'(8)$ ?

A

$\displaystyle \frac{37}{48}$

B

$\displaystyle \frac{41}{48}$

C

$\displaystyle \frac{43}{48}$

D

$\displaystyle \frac{35}{48}$

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