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

question 412

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) \(\cos \left( \frac { 5 \pi t } { 2 } \right) + \sin \left( \frac { 5 \pi t } { 2 } \right)\)

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