Question: Let A(x) = x a (t) dt. Explain why the following statements are true. Assume is differentiable. (a) If c is an inflection

Let A(x) = ∫^x_a ƒ(t) dt.

Explain why the following statements are true. Assume ƒ is differentiable.
(a) If c is an inflection point of A, then ƒ
(c) = 0.
(b) A is concave up if ƒ is increasing.
(c) A is concave down if ƒ is decreasing.

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a If x c is an inflection point of A then A c fc 0 b If A is concave ... View full answer

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