If f(x)=cot^(-1)sqrt(cos2x)," then: "f'(...

If `f(x)=cot^(-1)sqrt(cos2x)," then: "f'((pi)/(6))=`

A

`1/sqrt(3)`

B

`2/sqrt(3)`

C

`sqrt(2/3)`

D

`-2/sqrt(3)`

Verified by Experts

The correct Answer is:

C

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