Editing Mean value theorem (section)

{{Short description|Theorem in mathematics}}
{{For|the theorem in harmonic function theory|Harmonic function#The mean value property}}{{Calculus}}
In [[mathematics]], the '''mean value theorem''' (or '''Lagrange's mean value theorem''') states, roughly, that for a given planar [[arc (geometry)|arc]] between two endpoints, there is at least one point at which the [[tangent]] to the arc is parallel to the [[secant line|secant]] through its endpoints. It is one of the most important results in [[real analysis]]. This theorem is used to prove statements about a function on an [[interval (mathematics)|interval]] starting from local hypotheses about derivatives at points of the interval.

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