MHT CET · Maths · Application of Derivatives
The set of all points, for which \(f(x)=x^2 \cdot e^{-x}\) strictly increases, is
- A \((0,2)\)
- B \((-\infty, \infty)\)
- C \((-2,0)\)
- D \((2, \infty)\)
Answer & Solution
Correct Answer
(A) \((0,2)\)
Step-by-step Solution
Detailed explanation
\(f(x)=x^2 e^{-x}\)
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\(f(x)\) is strictly increasing in \((0,2)\)
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\(f(x)\) is strictly increasing in \((0,2)\)
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