Find the Derivative $\frac { d } { d \theta } \left( \theta \sin \left( \theta ^ { 2 } \right) \right)$

Multiple Choice

Find the derivative $\frac { d } { d \theta } \left( \theta \sin \left( \theta ^ { 2 } \right) \right)$ .

A) $\sin \left( \theta ^ { 2 } \right) + 2 \theta ^ { 2 } \cos \left( \theta ^ { 2 } \right)$
B) $\sin \left( \theta ^ { 2 } \right) + \theta \cos \left( \theta ^ { 2 } \right)$
C) $2 \theta \sin \left( \theta ^ { 2 } \right) + \theta \left( 2 \theta \cos \left( \theta ^ { 2 } \right) \right)$
D) $2 \theta \cos \left( \theta ^ { 2 } \right)$