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The derivative of the function cot^(-1...

The derivative of the function `cot^(-1){(cos2x)^(1//2)}` at `x=pi//6` is (a)`(2//3)^(1//2)` (b) `(1//3)^(1//2)` (c) `3^(1//2)` (d) `6^(1//2)`

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Given `y = cot^(-1) (cos 2x)^(1/2)`
`= cot^(-1) sqrt(cos 2x)`
`(dy)/(dx) = [-1/(1+cos 2x)][1/2 sqrt(cos 2x)] -2sin 2x `
`= sin 2x/(1+cos 2x)sqrt(cos 2x)` ...
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