If 2y = `(cot^-1((sqrt3cosx + sinx)/(cosx - sqrt3 sinx)))^2`, x ∈… - Vidyadip

MCQ

If 2y = `(cot^-1((sqrt3cosx + sinx)/(cosx - sqrt3 sinx)))^2`, x ∈ `(0, pi/2)` then `dy/dx` is equal to ______

A
`pi/3 - x`
B
`pi/6 - x`
✓
`x - pi/6`
D
`2x - pi/3`

✓

Answer

Correct option: C.

`x - pi/6`

C

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