Find the Derivative of the Function $$s = \sin \left( \frac { 5 \pi t } { 2 } \right) - \cos \left( \frac { 5 \pi t } { 2 } \right)$$

Multiple Choice

Find the derivative of the function.
- $$s = \sin \left( \frac { 5 \pi t } { 2 } \right) - \cos \left( \frac { 5 \pi t } { 2 } \right)$$

A) $- \frac { 5 \pi } { 2 } \cos \left( \frac { 5 \pi t } { 2 } \right) - \frac { 5 \pi } { 2 } \sin \left( \frac { 5 \pi t } { 2 } \right)$
B) $\frac { 5 \pi } { 2 } \cos \left( \frac { 5 \pi t } { 2 } \right) - \frac { 5 \pi } { 2 } \sin \left( \frac { 5 \pi t } { 2 } \right)$
C) $\frac { 5 \pi } { 2 } \cos \left( \frac { 5 \pi t } { 2 } \right) + \frac { 5 \pi } { 2 } \sin \left( \frac { 5 \pi t } { 2 } \right)$
D) $\cos \left( \frac { 5 \pi t } { 2 } \right) + \sin \left( \frac { 5 \pi t } { 2 } \right)$