Find the Derivative of the Function $$\mathrm { y } = \theta ^ { 4 } \mathrm { e } ^ { - 2 \theta } \cos 4 \theta$$

question 251

Multiple Choice

Find the derivative of the function.
- $$\mathrm { y } = \theta ^ { 4 } \mathrm { e } ^ { - 2 \theta } \cos 4 \theta$$

• A) \(- 56 \theta ^ { 3 } \mathrm { e } ^ { - 2 \theta } \sin 4 \theta\)
• B) \(\theta ^ { 3 } \mathrm { e } ^ { - 2 \theta } ( 4 \cos 4 \theta - 2 \cos 4 \theta + 4 \cos 4 \theta )\)
• C) \(- 4 \theta ^ { 3 } \mathrm { e } ^ { - 2 \theta } \sin 4 \theta\)
• D) \(\theta ^ { 3 } \mathrm { e } ^ { - 2 \theta } ( 4 \cos 4 \theta - 2 \theta \cos 4 \theta - 4 \theta \sin 4 \theta )\)

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