If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)...

If `f'(x)=sinx+sin4x.cosx,` then `f'(2x^(2)+pi/2)` is

A

`4x{cos(2x^(2))-sin8x^(2).sin2x^(2)}`

B

`4x{cos(2x^(2))+sin8x^(2).cos2x^(2)}`

C

`{cos(2x^(2))-sin8x^(2).sin2x^(2)}`

D

None of these

Verified by Experts

The correct Answer is:

D

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