JEE Main 202127 Aug, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If y(x)=cot−1(1+sinx+1−sinx1+sinx−1−sinx),x∈(π2,π)y(x) = {\cot ^{ - 1}}\left( {{{\sqrt {1 + \sin x} + \sqrt {1 - \sin x} } \over {\sqrt {1 + \sin x} - \sqrt {1 - \sin x} }}} \right),x \in \left( {{\pi \over 2},\pi } \right)y(x)=cot−1(1+sinx−1−sinx1+sinx+1−sinx),x∈(2π,π), then dydx{{dy} \over {dx}}dxdy at x=5π6x = {{5\pi } \over 6}x=65π is :AOption A. −12- {1 \over 2}−21BOption B. −-−1COption C. 12{1 \over 2}21DOption D. 0CheckSkip · show solution
