JEE Main 202125 Jul, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002Let f(x)=3sin4x+10sin3x+6sin2x−3f(x) = 3{\sin ^4}x + 10{\sin ^3}x + 6{\sin ^2}x - 3f(x)=3sin4x+10sin3x+6sin2x−3, x∈[−π6,π2]x \in \left[ { - {\pi \over 6},{\pi \over 2}} \right]x∈[−6π,2π]. Then, f is :AOption A. increasing in (−π6,π2)\left( { - {\pi \over 6},{\pi \over 2}} \right)(−6π,2π)BOption B. decreasing in (0,π2)\left( {0,{\pi \over 2}} \right)(0,2π)COption C. increasing in (−π6,0)\left( { - {\pi \over 6},0} \right)(−6π,0)DOption D. decreasing in (−π6,0)\left( { - {\pi \over 6},0} \right)(−6π,0)CheckSkip · show solution
