High Quality Content by WIKIPEDIA articles! In calculus, a branch of mathematics, Rolle's theorem essentially states that a differentiable function, which attains equal values at two points, must have a point somewhere between them where the slope of the tangent line to the graph of the function is zero. A version of the theorem was first stated by the Indian astronomer Bh?skara II in the 12th century. The first known formal proof was offered by Michel Rolle in 1691, which used the methods of differential calculus. The name "Rolle's theorem" was first used by M.W.Drobisch of Germany in 1834 and by Giusto Bellavitis of Italy in 1846.

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