Advanced Placement (AP), 05.05.2020 01:39 wadepoolio8836

Let f be a twice-differentiable function such that f′(1)=0 . The second derivative of f is given by f′′(x)=x2cos(x2+π) for −1≤x≤3 .

(a) On what open intervals contained in −1
(b) Does f have a relative minimum, a relative maximum, or neither at x=1 ? Justify your answer.

(c) Use the Mean Value Theorem on the closed interval [−1,1] to show that f′(−1) cannot equal 2.5.

(d) Does the graph of f have a point of inflection at x=0 ? Give a reason for your answer.

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Let f be a twice-differentiable function such that f′(1)=0 . The second derivative of f is given by...