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

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) $\theta ^ { 3 } \mathrm { e } ^ { - 2 \theta } ( 4 \cos 4 \theta - 2 \theta \cos 4 \theta - 4 \theta \sin 4 \theta )$