Derivative with Rational Exponents

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If $f(x) = x^{\frac{5}{2}} - 7x^{-\frac{1}{2}}$ , what is the value of $f'(4)$ ?

$\displaystyle \frac{321}{16}$

$\displaystyle \frac{327}{16}$

$\displaystyle \frac{313}{16}$

$20$

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