Calculate the Derivative $\frac { d } { d x } \left[ e ^ { - 3 x } \sin ( 3 \pi x ) \right]$

Multiple Choice

Calculate the derivative. $\frac { d } { d x } \left[ e ^ { - 3 x } \sin ( 3 \pi x ) \right]$

A) $e ^ { 3 x } ( - 3 \sin ( 3 \pi x ) - 3 \pi \cos ( 3 \pi x ) )$
B) $e ^ { - 3 x } ( - 3 \sin ( 3 \pi x ) + 3 \pi \cos ( 3 \pi x ) )$
C) $e ^ { - 3 x } ( - 3 \sin ( 3 \pi x ) - 3 \pi \cos ( 3 \pi x ) )$
D) $e ^ { - 3 x } ( \sin ( 3 \pi x ) + \cos ( 3 \pi x ) )$
E) $e ^ { - 3 x } ( \sin ( 3 \pi x ) - 3 \pi \cos ( 3 \pi x ) )$