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The difference between the greatest and ...

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

A

`(sqrt3+sqrt2)/2`

B

`(sqrt3+sqrt2)/2+pi/6`

C

`sqrt3 - pi/3`

D

`(sqrt3+sqrt2)/2-pi/3`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  2. The least value of f(x) = sin 2x -x on [-pi//2,pi//2] is

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