Let be a function defined on such that

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

13. Let ff be a function defined on [a,b][a, b] such that f′(x)>0f^{\prime}(x)>0, for all x∈(a,b)x \in(a, b). Then prove that ff is an increasing function on (a,b)(a, b).

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