Let $f ( x ) = ( \sin x ) ^ { x }$

question 21

Multiple Choice

Let $f ( x ) = ( \sin x ) ^ { x }$ . Find the value of $f ^ { \prime } \left( \frac { \pi } { 2 } \right)$ .

• A)0
• B)1
• C)2
• D)
• \(e ^ { \frac { \pi } { 2 } }\)
• E) \(e ^ { x }\)
• F) \(\frac { \pi } { 2 }\)
• G) \(\pi\)
• H)2 \(\pi\)

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