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AP® Calculus AB-BC

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Moderate

Derivative of Log Base 5

APCALC-DVI1YZ

Given $y=\log _{ 5 }{ { 5 }^{ 5x } },$ find $\cfrac{dy}{dx}$.

A

$5$

B

$5\log _{ 5 }{ { 5 }^{ 5x } } $

C

$5\ln { 5 } ^{ 5x }$

D

$5\ln { 5 } + \cfrac{5x}{\ln { 5 }} $