Mathematics · Application of Derivatives
Let f(x) be a continuous function on [a, b] and differentiable on (a, b). Then, this function f(x) is strictly increasing in (a, b) if:
- 1f'(x) < 0, ∀ x ∈ (a, b)
- 2f'(x) > 0, ∀ x ∈ (a, b)✓
- 3f'(x) = 0, ∀ x ∈ (a, b)
- 4f(x) > 0, ∀ x ∈ (a, b)
Correct answer
f'(x) > 0, ∀ x ∈ (a, b)
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