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What is the derivative of

$$y={ 5xe }^{ x }+{ 2x }^{ 2 }{ e }^{ x }{ -e }^{ x }$$

...with respect to $x$?

A

$\cfrac {dy}{dx}={ 4x }^{ 2 }{ e }^{ x }{ -9xe }^{ x }{ -e }^{ x }$

B

$\cfrac {dy}{dx}={ x }^{ 2 }{ e }^{ x }{ -9xe }^{ x }{ +4e }^{ x }$

C

$\cfrac {dy}{dx}={ 2x }^{ 2 }{ e }^{ x }{ +9xe }^{ x }{ +4e }^{ x }$

D

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

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