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AP® Calculus AB-BC

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Finding the Second Derivative of Exponential Function

APCALC-T2SEN8

Given $y={ 6 }^{ 3x+1 },$ find $y^{\prime\prime}$.

A

$3x( 3x+1 ) { 6 }^{ 3x-1 }$

B

$( 9 ) { 6 }^{ 3x+1 }$

C

$ { 6 }^{ 3x+1 }$

D

$( 3\ln { 6 } ) ^{ 2 }{ 6 }^{ 3x+1 }$