Rolle’s Theorem and Bolzano-Cauchy Theorem : A View from the End of the 17th Century until K. Weierstrass’ Epoch

By : G. Sinkevich

Page No: 31-53

Abstract
We discuss the history of the famous Rolle’s theorem “If a function is continuous at [a, b], differentiable in (a, b), and f (a) = f (b), then there exists a point c in (a, b) such that f’(c) = 0”, and that of the related theorem on the root interval, “If a function is continuous on [a, b] and has different signs at the ends of the interval, then there exists a point c in (a, b) such that f (c) = 0”.