Which statement best describes where the absolute extrema of a differentiable…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Which statement best describes where the absolute extrema of a differentiable function gg defined on a closed interval [c,d][c,d] can occur? (a) Only at points where g′(x)=0g'(x)=0 inside (c,d)(c,d) (b) Only at the endpoints x=cx=c and x=dx=d (c) At the endpoints x=cx=c or x=dx=d and at any points in (c,d)(c,d) where g′(x)=0g'(x)=0 (d) At points where g′′(x)=0g''(x)=0 inside (c,d)(c,d)

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