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Application of Derivatives question

2022 · 28 Jul · Shift 2 · Q26
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  5. /2022 · 28 Jul · Shift 2 · Q26

Application of Derivatives question

2022 · 28 Jul · Shift 2 · Q26

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The 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 :
  1. A
    increasing in (−12,1)\left(-\frac{1}{2}, 1\right)(−21​,1)
  2. B
    decreasing in (12,2)\left(\frac{1}{2}, 2\right)(21​,2)
  3. C
    increasing in (−1,−12)\left(-1,-\frac{1}{2}\right)(−1,−21​)
  4. D
    decreasing in (−12,12)\left(-\frac{1}{2}, \frac{1}{2}\right)(−21​,21​)
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