Explain, in one or two sentences, why computing average rates of change over…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Explain, in one or two sentences, why computing average rates of change over intervals that become increasingly small around a point enables you to identify the instantaneous rate of change at that point.

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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