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If $x( t ) =t\sin { t } $ and $y( t ) ={ e }^{ 2t }$ for all values of $t$, find $\cfrac{dy}{dx}$.

A

$\cfrac{( { 2e }^{ 2t } ) }{( \cos { t } )} $

B

$\cfrac{( \cos { t } ) }{( { 2e }^{ 2t } ) }$

C

$\cfrac{( \sin { + } t\cos { t } ) }{( { 2e }^{ 2t } ) }$

D

$\cfrac{( { 2e }^{ 2t } ) }{( \sin { t } +t\cos { t } ) }$

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