In one or two sentences

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

Problem

In one or two sentences, describe why the value to which the difference quotient

\dfrac{f(a+h)-f(a)}{h}

approaches as

h

becomes very small represents the instantaneous rate of change of

f

x=a

Related theory

Derivative Foundations
Differentiation from first principles
Derivatives
Limits and Derivatives

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