mean value theorem

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mean value theorem

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mean value theorem

Definition/Summary

The Mean Value Theorem states that within a continuous function

, for

, there is at least one point between

and

where the derivative is parallel to the chord through the points

and

Equations

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Breakdown

Mathematics
> Calculus/Analysis
>> Calculus

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Extended explanation

Analytic Definition

Suppose that

:

a) is continuous on

b) is differentiable on

,

Then there is a

in such a way that

Some prefer this equivalent formula:

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