If f (x) = cos (x ^(2) -4[x]), 0 lt x lt...

If `f (x) = cos (x ^(2) -4[x]), 0 lt x lt 1,` (whre [.] denotes greatest integer function) then `f '((sqrtpi)/(2))` is equal to:

A

`-sqrt((pi)/(2))`

B

`sqrt((pi)/(2))`

C

0

D

`sqrt((pi)/(4))`

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The correct Answer is:

A

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