The derivative of piecewise-defined functions

The aim of this paper is to provide tools that allow determining whether a piecewise-defined function is differentiable at the break points, without using the definition of the lateral derivative. Also, we work on the identification and correct use of necessary and sufficient conditions to draw conc...

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Detalles Bibliográficos
Autor principal: Carena, Marilina
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2024
Materias:
Derivada
Funciones definidas por tramos
Derivative
Piecewise-defined function
Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/45401
Aporte de:
Revista de Educación Matemática de Universidad Nacional de Córdoba
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spelling I10-R366-article-454012024-12-21T01:11:42Z The derivative of piecewise-defined functions La derivada de funciones definidas por tramos Carena, Marilina Derivada Funciones definidas por tramos Derivative Piecewise-defined function The aim of this paper is to provide tools that allow determining whether a piecewise-defined function is differentiable at the break points, without using the definition of the lateral derivative. Also, we work on the identification and correct use of necessary and sufficient conditions to draw conclusions in these cases. El principal objetivo de este trabajo es brindar herramientas que permitan determinar si una función definida por tramos es derivable o no en los puntos de corte, sin tener que recurrir a la definición de derivada lateral. A su vez, se pretende trabajar en la identificación y uso correcto de condiciones necesarias y suficientes para obtener conclusiones en estos casos. Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2024-12-20 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares application/pdf https://revistas.unc.edu.ar/index.php/REM/article/view/45401 10.33044/revem.45401 Revista de Educación Matemática; Vol. 39 Núm. 3 (2024); 81-93 1852-2890 0326-8780 spa https://revistas.unc.edu.ar/index.php/REM/article/view/45401/47947 Derechos de autor 2024 Marilina Carena https://creativecommons.org/licenses/by-sa/4.0/
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-366
container_title_str Revista de Educación Matemática
language Español
format Artículo revista
topic Derivada
Funciones definidas por tramos
Derivative
Piecewise-defined function
spellingShingle Derivada
Funciones definidas por tramos
Derivative
Piecewise-defined function
Carena, Marilina
The derivative of piecewise-defined functions
topic_facet Derivada
Funciones definidas por tramos
Derivative
Piecewise-defined function
author Carena, Marilina
author_facet Carena, Marilina
author_sort Carena, Marilina
title The derivative of piecewise-defined functions
title_short The derivative of piecewise-defined functions
title_full The derivative of piecewise-defined functions
title_fullStr The derivative of piecewise-defined functions
title_full_unstemmed The derivative of piecewise-defined functions
title_sort derivative of piecewise-defined functions
description The aim of this paper is to provide tools that allow determining whether a piecewise-defined function is differentiable at the break points, without using the definition of the lateral derivative. Also, we work on the identification and correct use of necessary and sufficient conditions to draw conclusions in these cases.
publisher Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación
publishDate 2024
url https://revistas.unc.edu.ar/index.php/REM/article/view/45401
work_keys_str_mv AT carenamarilina thederivativeofpiecewisedefinedfunctions
AT carenamarilina laderivadadefuncionesdefinidasportramos
AT carenamarilina derivativeofpiecewisedefinedfunctions
first_indexed 2025-02-05T22:15:23Z
last_indexed 2025-02-05T22:15:23Z
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