Let r r be a differentiable function on an interval i


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).

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Mathematics: Let r r be a differentiable function on an interval i
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