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CALCULO INTEGRAL (LA DIFERENCIAL)
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Este trabajo describe el contexto de la diferencial, se da el significado de la diferencial por grandes matemáticos y se explica el procedimiento para resolver algunos ejemplos... además viene paso a paso el resolver algunos ejemplos.

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Document information

  • March 31, 2022
  • 4
  • 2022/2023
  • Interview
  • Unknown
  • Unknown

Subjects

  • calculo integral
  • derivada
  • diferencial
  • calculo diferencial

Written for

  • Secondary school
  • CALCULO INTEGRAL
  • 5
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DERIVADA
Calculo integral




30 DE ENERO DE 2022

, De acuerdo con Rodríguez (2018), "Uno de los conceptos asociados a la derivada es el del
diferencial. El mismo permite, de una manera sencilla, hacer un análisis de la variación aproximada
que experimenta una función para una variación pequeña del argumento"

En otras palabras:


"El diferencial es una variable que proviene de obtener la diferencia entre dos
valores sucesivos, y es tan pequeña que se considera infinitamente pequeña."


El diferencial de la variable independiente de una función real de variable real con regla de
correspondencia y = f(x), se denota como 𝑑𝑥 y es igual a:

𝑑𝑥 = 𝛥𝑥
En dónde:

𝑑𝑥 es el diferencial de 𝑥

𝛥𝑥 es el incremento de 𝑥

El diferencial de una función real de variable real con regla de correspondencia 𝑦 = 𝑓(𝑥), se
denota como 𝑑𝑦 o 𝑑𝑓(𝑥) y se define como:

𝑑𝑦 = 𝑓 ′ (𝑥)𝑑𝑥
En dónde

𝑑𝑦 es el diferencial de la función 𝑦

𝑓′(𝑥) es la derivada de la función 𝑓(𝑥)

𝑑𝑥 es el diferencial de 𝑥

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