JEE Main 20198 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If 2y=(cot−1(3cosx+sinxcosx−3sinx))22y = {\left( {{{\cot }^{ - 1}}\left( {{{\sqrt 3 \cos x + \sin x} \over {\cos x - \sqrt 3 \sin x}}} \right)} \right)^2}2y=(cot−1(cosx−3sinx3cosx+sinx))2, x ∈\in∈ (0,π2)\left( {0,{\pi \over 2}} \right)(0,2π) then dydxdy \over dxdxdy is equal to:AOption A. 2x−π32x - {\pi \over 3}2x−3πBOption B. π6−x{\pi \over 6} - x6π−xCOption C. π3−x{\pi \over 3} - x3π−xDOption D. x−π6x - {\pi \over 6}x−6πCheckSkip · show solution
