The interval in which y = x² e⁻ˣ is strictly increasing is:
The interval in which y = x² e⁻ˣ is strictly increasing is:
- A. (-∞, 0)
- B. (0, 2)
- C. (2, ∞)
- D. (-2, 0)
Answer: B) (0, 2)
Explanation: dy/dx = 2x e⁻ˣ - x² e⁻ˣ = x e⁻ˣ(2 - x). dy/dx > 0 when x(2 - x) > 0, which implies 0 < x < 2.
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