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The greatest value of the function f(x) ...

The greatest value of the function `f(x) =sin 2x -x ` on `[-pi//2,pi//2]` is

A

`(0,pi/2)`

B

`(0,pi/6)`

C

`(0,pi/4)`

D

`(pi/6,pi/2)`

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The correct Answer is:
D
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