Which of the following best describes a critical point of a real-valued function…

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

Problem

Which of the following best describes a critical point of a real-valued function ff defined on an interval? (a) A number c such that f′′(c)=0\text{A number }c\text{ such that }f''(c)=0 (b) A number c in the domain of f where f′(c)=0 or f′(c) does not exist\text{A number }c\text{ in the domain of }f\text{ where }f'(c)=0\text{ or }f'(c)\text{ does not exist} (c) A number c in the domain of f where f′(c)=0\text{A number }c\text{ in the domain of }f\text{ where }f'(c)=0 (d) A number c where f′(c)>0 for all nearby x\text{A number }c\text{ where }f'(c)>0\text{ for all nearby }x

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