In one sentence

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

In one sentence, explain why a change in sign of f′(x)f'(x) at x=cx=c can create an inflection point for the accumulation function F(x)=∫axf(t) dtF(x)=\int_{a}^{x} f(t)\,dt.

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