Find the Derivative of the Function $p ( x ) = 3 + 2 \sin \left( \frac { \pi } { 2 } ( x - 1 ) \right)$

Multiple Choice

Find the derivative of the function. $p ( x ) = 3 + 2 \sin \left( \frac { \pi } { 2 } ( x - 1 ) \right)$

A) $p ^ { \prime } ( x ) = \pi \cos \left( \frac { \pi } { 2 } ( x - 1 ) \right)$
B) $p ^ { \prime } ( x ) = 2 \cos \left( \frac { \pi } { 2 } ( x - 1 ) \right)$
C) $p ^ { \prime } ( x ) = \pi \cos \left( \frac { \pi } { 2 } ( x + 1 ) \right)$
D) $p ^ { \prime } ( x ) = \pi \sin \left( \frac { \pi } { 2 } ( x - 1 ) \right)$
E) $p ^ { \prime } ( x ) = 3 + \pi \cos \left( \frac { \pi } { 2 } ( x - 1 ) \right)$