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AP® Calculus AB-BC

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Calculating Derivatives: The Power Rule

APCALC-LGYYAT

If $ f\left( x \right) =\cfrac { 1 }{ x } +\cfrac { 5 }{ \sqrt { x } } $, the value of $f^{ \prime }\left( 4 \right)=$

A

$-\cfrac { 3 }{ 8 } $

B

$-\cfrac { 1 }{ 4 } $

C

$\cfrac { 3 }{ 8 } $

D

$\cfrac { 11 }{ 4 } $