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Find All Critical Numbers for the Function f(x)=2sin⁡x−x for 0<x<πf ( x ) = 2 \sin x - x \text { for } 0 < x < \pi

Question 130

Multiple Choice

Find all critical numbers for the function f(x) =2sin⁡x−x for 0<x<πf ( x ) = 2 \sin x - x \text { for } 0 < x < \pi .


A) π2\frac { \pi } { 2 }
B) 3π2\frac { 3 \pi } { 2 }
C) 0
D) None of these
3π2\frac { 3 \pi } { 2 }
E) π3\frac { \pi } { 3 }
F) π4\frac { \pi } { 4 }
G) -1
H) No critical numbers

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