What is the maximum value of x e⁻ˣ?
What is the maximum value of x e⁻ˣ?
- A. e
- B. 1/e
- C. 1
- D. -1/e
Answer: B) 1/e
Explanation: f'(x) = e⁻ˣ - x e⁻ˣ = e⁻ˣ(1 - x). Setting f'(x) = 0 gives x = 1. f(1) = 1 e⁻¹ = 1/e.
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