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Mathematics · 术语表

什么是 Average rate of change?

又称: secant

Definition 12.1 High School Mathematics · 第 12 章 — Differentiation: A First Course

Let ff be defined on an interval II, and a≠ba \neq b in II. The average rate of change of ff between aa and bb is

f(b)−f(a)b−a.\frac{f(b) - f(a)}{b - a}.

It is the slope of the secant line through the points (a,f(a))\bigl(a, f(a)\bigr) and (b,f(b))\bigl(b, f(b)\bigr) of the curve.

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