The interval on which f(x) = x/log x is increasing is:
The interval on which f(x) = x/log x is increasing is:
- A. (e, ∞)
- B. (1, ∞)
- C. (0, e)
- D. (0, 1)
Answer: A) (e, ∞)
Explanation: f'(x) = (log x − 1)/(log x)². f'(x) > 0 when log x > 1 → x > e. Domain is x > 0, x ≠ 1. Increasing on (e, ∞).
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