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

question 34

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) \(e ^ { - 3 x } ( \sin ( 3 \pi x ) - 3 \pi \cos ( 3 \pi x ) )\)

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