Teorema de Rolle

Teorema de Rolle

En matemáticas, o teorema de Rolle, afirma que dada unha función continua nun intervalo fechado e que sexa diferenciábel en , se entón existe algún punto en tal que

Noutras palabras, se unha curva ten un punto inicial e outro final á mesma altura, nalgún punto ten que existir unha tanxente horizontal. Nótese tamén que será un máximo ou un mínimo e non ten porque ser único.

Historia

Atribúese ao matemático indio Bhāskara II (1114–1185) o coñecemento deste teorema [1]. En 1691, Michel Rolle publicou a primeira demostración formal coñecida. En 1834, o alemán Moritz Wilhelm Drobisch e o italiano Giusto Bellavitis en 1846 foron os primeiros en usar o nome de «teorema de Rolle».[2]

Véxase tamén

Ligazóns externas

Este artigo tan só é un bosquexo
 Este artigo sobre matemáticas é, polo de agora, só un bosquexo. Traballa nel para axudar a contribuír a que a Galipedia mellore e medre.
 Existen igualmente outros artigos relacionados con este tema nos que tamén podes contribuír.
  1. ↑ R.C. Gupta, Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures, p. 156
  2. ↑ Ver Florian Cajori's A History of Mathematics, p. 224 [1].

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