MathematicsMedium63×since 2002Q3653The 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 :A1B2C23{2 \over 3}32D12{1 \over 2}21Check answerSkip