Mean Value Theorem

Revision as of 20:11, 17 July 2008 by JBL (Talk | contribs)

(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

The Mean Value Theorem states that if $a < b$ are real numbers and the function $f:[a,b] \to \mathbb{R}$ is continuous on the interval $[a,b]$ , then there exists a value $c$ in $[a,b]$ such that

In words, there is a number $c$ in $[a,b]$ such that $f(c)$ equals the average value of the function in the interval $[a,b]$ .

This article is a stub. Help us out by expanding it.