摘要：It has been stated a simple extension of the Rolle?s theorem. This extension permits to determine the amount of numbers in which in a given interval using the characteristics of the function in that interval. The extension has been proved and the geometric interpretation is presented. Illustrative examples have been developed for each of the cases that can be obtained by applying the extension. The relation of this theorem with the problem of multiple internal rates of return (IRR) is presented.
其他摘要：This paper presents a simple extension of Rolle’s Theorem. This extension allows determining the amount of numbers ξi in which f'(ξi ) = 0 in a given interval, using the characteristics of the function f in that interval. The extension has been proved, and the geometric interpretation has been presented. Illustrative examples have also been developed for each case that can be obtained by applying the extension. Finally, the study examines the relation of this theorem with the problem of multiple internal rates of return (IRR).
关键词：teorema de Rolle; múltiples tasas internas de retorno (TIR)
其他关键词：Multiple internal rates of return (IRR); Rolle’s theorem;
