?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Moderate

Derivative of $e^{(-3x)^x}$

APCALC-LZNHVH

Given $f( x ) =e^{ ( -3x )^x }$, find $f^\prime(x)$.

A

${ xe }^{ ( -3x )^{( x-1 )} }$

B

$-6{ x }{ e }^{ ( -3x )^x }$

C

$-6{ x }^{ 2 }$

D

$-6{ x }^{ 2 }{ e }^{ ( -3x )^ x }$