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# Chain Rule: Exponential to a Polynomial Power

APCALC-EWJGUS

What is the derivative of $y=e^{2x^{^{2}}+1},$ with respect to $x$?

A

$\cfrac { dy }{ dx }={ e }^{ 4x +1 }$

B

$\cfrac { dy }{ dx }={ xe }^{ {2 x }^{ 2 }+1 }$

C

$\cfrac { dy }{ dx }={ 4xe }^{ { 2x }^{ 2 }+1 }$

D

$\cfrac { dy }{ dx }=e^{ 2x^{ 2 }+1 }$