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If f is differentiable function such tha...

If f is differentiable function such that `int_cos x^1 t^2 f(t) dt =sin^3x +cos x` then the value of `1/sqrt3 f'(1/sqrt3)` is

A

`6-9 sqrt2`

B

`6 - 9/sqrt2`

C

`9/2 - 6 sqrt2 `

D

`9/sqrt2 -6`

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