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 first derivative (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.

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