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  3. let f be a continuous function on [a, b] which is

Let f be a continuous function on [a, b] which is differentiable on (a,b). Then f...

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Advance Math

Let f be a continuous function on [a, b] which is differentiableon (a,b). Then f is non-decreasing on [a,b] if and only if f?(x) ?0 for all x ? (a,b), while if f is non-increasing on [a,b] if andonly if f?(x) ? 0 for all x ? (a, b).

can you please prove this theorem? thank you!

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