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If f(x)=cos{(pi)/(2)[x]-x^(3)},1ltxlt2, ...

If `f(x)=cos{(pi)/(2)[x]-x^(3)},1ltxlt2`, and [x] denotes the greatest integer less than or equal to x, then the value of
`f'(root(3)((pi)/(2)))`, is

A

0

B

1

C

`1/2`

D

`1/sqrt2`

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