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Twierdzenie Lagrange'a
Sign in to saveAlso known as Lagrange's mean value theorem, mean value theorems, law of the mean, MVT
twierdzenie analizy matematycznej, konkretniej rachunku różniczkowego
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.
AI-generated from the Wikipedia summary — may contain errors.
In the Vinony graph
Vinony's link graph records 266 inbound references to Twierdzenie Lagrange'a, and connects out to calculus, integral and series.
It sits within the topics Augustin-Louis Cauchy, Theorems in calculus and Theorems in real analysis.
Vinony links it to 55 Wikipedia language editions.
Wikidata facts
- Instance of
- theorem
- Part of
- list of theorems
- Image
- Mittelwertsatz3.svg
Show 5 more facts
- 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 · Polski
Twierdzenie Lagrange’a – jedno z kilku twierdzeń o wartości średniej w rachunku różniczkowym; jest to uogólnienie twierdzenia Rolle’a oraz szczególny przypadek twierdzenia Cauchy’ego i twierdzenia Taylora. Nazwa twierdzenia pochodzi od nazwiska Josepha Louisa Lagrange’a, który podał je i udowodnił w 1797 roku.
Abstract from DBpedia / Wikipedia · CC BY-SA