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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Autor principal: Carena, Marilina
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2024
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Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/45401
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Sumario: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.