A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR)
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 p...
- Autores:
-
Gómez-Villarraga, Fernando
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- Universidad Católica de Colombia
- Repositorio:
- RIUCaC - Repositorio U. Católica
- Idioma:
- eng
- OAI Identifier:
- oai:repository.ucatolica.edu.co:10983/25600
- Acceso en línea:
- https://hdl.handle.net/10983/25600
- Palabra clave:
- ECONOMÍA MATEMÁTICA
TEOREMA DE ROLLE
MÚLTIPLES TASAS INTERNAS DE RETORNO
- Rights
- openAccess
- License
- Copyright, Universidad Católica de Colombia, 2019
| Summary: | 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). |
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