Which of the following statements best describes when the graph of a differentiable…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Which of the following statements best describes when the graph of a differentiable function ff is concave up on an open interval II? (a) f′(x)>0f'(x)>0 for every x in Ix \text{ in } I. (b) f′′(x)<0f''(x)<0 for every x in Ix \text{ in } I. (c) f′′(x)>0f''(x)>0 for every x in Ix \text{ in } I. (d) f′(x)f'(x) is decreasing on II.

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