JEE Main 201912 Apr, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002The derivative of tan−1(sinx−cosxsinx+cosx){\tan ^{ - 1}}\left( {{{\sin x - \cos x} \over {\sin x + \cos x}}} \right)tan−1(sinx+cosxsinx−cosx), with respect to x2{x \over 2}2x , where (x∈(0,π2))\left( {x \in \left( {0,{\pi \over 2}} \right)} \right)(x∈(0,2π)) is :AOption A. 1BOption B. 2COption C. 23{2 \over 3}32DOption D. 12{1 \over 2}21CheckSkip · show solution