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Concept information

Preferred term

Rolle's theorem  

Definition(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)

Broader concept(s)

Synonym(s)

  • Rolle's lemma

In other languages

URI

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

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