Explain what physical or geometric quantity is represented by the expression _ x 0…

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

Problem

Explain what physical or geometric quantity is represented by the expression

\lim_{\Delta x\to 0}\frac{f(a+\Delta x)-f(a)}{\Delta x}.

Respond in one clear sentence.

Related theory

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

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