Extensions of one variable mean value theorems

In this work Lagrange’s and Cauchy’s mean value theorems for real valued functions are extended, including the case of the composed function. For this purpose, we follow an inductive reasoning, starting from the exploration of some particular casesuntil obtaining a general expression, therefore we m...

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Autor principal: Pérez Teruel, Ginés R.
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2020
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Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/31162
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Sumario:In this work Lagrange’s and Cauchy’s mean value theorems for real valued functions are extended, including the case of the composed function. For this purpose, we follow an inductive reasoning, starting from the exploration of some particular casesuntil obtaining a general expression, therefore we move from the particular to the general. The content of the work may be useful for math teachers as complementary and additional material for their lectures