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Define differentiable function on an interval

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Reference no: EM131582641

Question: Let ƒ: R → R be a differentiable function on an interval I. Show that

(i) if ƒ'(x) = 0 for each x e I, then ƒ is constant on the interval.

(ii) if ƒ'(x) > 0 on (a, b), then ƒ is strictly increasing on (a, b).

Reference no: EM131582641

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