Question: Let f be a function defined and differentiable on an interval (a, b). Is it true that if f is increasing on (a, b), then

Let f be a function defined and differentiable on an interval (a, b). Is it true that if f is increasing on (a, b), then f 0 (x) 0 for all x (a, b) ? Give an answer and prove it.

I don't know how to prove or start. Do I need to prove right and and left limits?

P.s. How can I revise the wording?

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