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Let f(x)=(sin⁡x)xf ( x ) = ( \sin x ) ^ { x }

Question 21

Multiple Choice

Let f(x) =(sin⁡x) xf ( x ) = ( \sin x ) ^ { x } . Find the value of f′(π2) f ^ { \prime } \left( \frac { \pi } { 2 } \right) .


A) 0
B) 1
C) 2
D)
eπ2e ^ { \frac { \pi } { 2 } }
E) exe ^ { x }
F) π2\frac { \pi } { 2 }
G) π\pi
H) 2 π\pi

Correct Answer:

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