Mathematics · Real Analysis
Let f be a bounded, twice continuously differentiable real-valued function on (0, &inf;) such that f''(x) ≥ 0 for all x ∈ (0, &inf;). Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f'(x) ≤ 0 for all x > 0.✓
- 2limx→&inf; f'(x) = 0
- 3limx→&inf; x f'(x) need not exist.
- 4limx→&inf; x f'(x) = 0
Correct answer
f'(x) ≤ 0 for all x > 0.
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