JEE Main 202228 Jul, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002The function f(x)=xex(1−x),x∈Rf(x)=x \mathrm{e}^{x(1-x)}, x \in \mathbb{R}f(x)=xex(1−x),x∈R, is :AOption A. increasing in (−12,1)\left(-\frac{1}{2}, 1\right)(−21,1)BOption B. decreasing in (12,2)\left(\frac{1}{2}, 2\right)(21,2)COption C. increasing in (−1,−12)\left(-1,-\frac{1}{2}\right)(−1,−21)DOption D. decreasing in (−12,12)\left(-\frac{1}{2}, \frac{1}{2}\right)(−21,21)CheckSkip · show solution
