File:Mittelwertsatz3_c_version.svg · Wikimedia Commons · See Wikimedia Commons
théorème des accroissements finis
Sign in to saveAlso known as Lagrange's mean value theorem, mean value theorems, law of the mean, MVT
théorème d'analyse
The mean value theorem states that for any smooth curve between two points, there must be at least one spot on that curve where the tangent line is parallel to the straight line connecting the endpoints. This matters because it's a fundamental tool in mathematics that helps us understand how functions behave and is essential for proving many other important results in calculus.
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Wikidata facts
- Instance of
- theorem
- Part of
- list of theorems
- Image
- Mittelwertsatz3.svg
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- Commons category
- Mean value theorem
- studied by
- calculus
- different from
- Lagrange's theorem
- maintained by WikiProject
- WikiProject Mathematics
- generalization of
- Rolle's theorem
Sources (3)
via Wikidata · CC0
Article · Français
En analyse, le théorème des accroissements finis (en abrégé : TAF) est à la fois une généralisation et un corollaire du théorème de Rolle. Pour toute fonction dérivable d'une variable réelle, son taux d'accroissement entre deux valeurs est réalisable comme pente d'une des tangentes à son graphe.
Abstract from DBpedia / Wikipedia · CC BY-SA