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Theorem. Let a 0. Then f is increasing on (a, b) Theorem. Let a < b. Suppose f is a differentiable function on (a, b).

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Theorem. Let a 0. Then f is increasing on (a, b)

Theorem. Let a < b. Suppose f is a differentiable function on (a, b). Suppose that for all x (a, b), we have ft (x) > O. Then f is increasing on (a, b).

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