Find the Derivative Of $f ( w ) = \sin \left( 4 w ^ { 2 } \right) + \cos \left( 4 w ^ { 2 } \right)$

Multiple Choice

Find the derivative of $f ( w ) = \sin \left( 4 w ^ { 2 } \right) + \cos \left( 4 w ^ { 2 } \right)$ .

A) $8 w \cos \left( 4 w ^ { 2 } \right) - 8 w \sin \left( 4 w ^ { 2 } \right)$
B) $- 8 w \cos \left( 4 w ^ { 2 } \right) + 8 w \sin \left( 4 w ^ { 2 } \right)$
C) $4 \cos \left( 4 w ^ { 2 } \right) - 4 \sin \left( 4 w ^ { 2 } \right)$
D) $- 4 \cos \left( 4 w ^ { 2 } \right) + 4 \sin \left( 4 w ^ { 2 } \right)$