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mathematical analysis > real analysis > real-valued function > Lagrange theorem > Rolle's theorem

Terme préférentiel

Rolle's theorem  

Définition(s)

  • In calculus, Rolle's theorem or Rolle's lemma essentially states that any real-valued differentiable function that attains equal values at two distinct points must have at least one stationary point somewhere between them—that is, a point where the first derivative (the slope of the tangent line to the graph of the function) is zero. The theorem is named after Michel Rolle.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Rolle%27s_theorem)

Concept(s) générique(s)

Synonyme(s)

  • Rolle's lemma

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-P36DDZRM-B

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