Explain, in one concise sentence, why a continuous function on a closed interval that…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Explain, in one concise sentence, why a continuous function ff on a closed interval [a,b][a,b] that has exactly one critical point cc in (a,b)(a,b) with f′′(c)<0f''(c)<0 must attain its absolute maximum at x=cx=c.

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