JEE Main 20264 Apr, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002If y=tan−1(3cosx−4sinx4cosx+3sinx)+2tan−1(x1+1−x2)y=\tan^{-1}\left(\frac{3\cos x-4\sin x}{4\cos x+3\sin x}\right)+2\tan^{-1}\left(\frac{x}{1+\sqrt{1-x^2}}\right)y=tan−1(4cosx+3sinx3cosx−4sinx)+2tan−1(1+1−x2x), then dydx\frac{dy}{dx}dxdy at x=32x=\frac{\sqrt3}{2}x=23 is equal to:AOption A. 3BOption B. −1-1−1COption C. 1DOption D. 2CheckSkip · show solution