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Question: Answered & Verified by Expert
The set of all points, for which $f(x)=x^2 \cdot e^{-x}$ strictly increases, is
MathematicsApplication of DerivativesMHT CETMHT CET 2022 (10 Aug Shift 1)
Options:
  • A $(0,2)$
  • B $(-\infty, \infty)$
  • C $(-2,0)$
  • D $(2, \infty)$
Solution:
1118 Upvotes Verified Answer
The correct answer is: $(0,2)$
$$
f(x)=x^2 e^{-x}
$$
null

$f(x)$ is strictly increasing in $(0,2)$

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