Rolle's theorem

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Named after Michel Rolle, though Rolle's 1691 proof covered only the case of polynomial functions and did not use the methods of differential calculus.

Proper noun[edit]

Rolle's theorem

  1. (calculus) A theorem stating that any real-valued differentiable function that attains equal values at two distinct points must have a point somewhere between them where the first derivative (the slope of the tangent line to the graph of the function) is zero.