The function f(x) = xˣ has a stationary point at:
The function f(x) = xˣ has a stationary point at:
- A. x = 1/e
- B. x = e
- C. x = 1
- D. x = e²
Answer: A) x = 1/e
Explanation: f(x) = e^(x ln x). f'(x) = xˣ (ln x + 1). f'(x) = 0 → ln x = −1 → x = 1/e.
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