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If f''(x)gt0 and f'(1)=0 such that g(x)=...

If `f''(x)gt0` and f'(1)=0 such that `g(x)=f(cot^2x+2cotx+2)`, where `0ltxltpi` then the interval in which g(x) is decreasing is :

A

`(0,pi)`

B

`(pi/2,pi)`

C

`((3pi)/4,pi)`

D

`(0,(3pi)/4)`

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The correct Answer is:
D
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