Selected values of the first derivative of a twice-differentiable function f are given

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

Problem

Selected values of the first derivative of a twice-differentiable function f are given. x −2 −1 0 1 2 f'(x) −3 −1 0 −1 −3 Which statement is best supported by the data? (a) ff has a local maximum at x=0x = 0 (b) ff is concave up on (1,2)(1,2) (c) ff has a point of inflection at x=0x = 0 (d) ff has a local minimum at x=0x = 0

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