From 1f8258406e8e41a3ff76e4fed0f6048d0928f96c Mon Sep 17 00:00:00 2001 From: fede Date: Sun, 14 Apr 2024 22:14:21 -0300 Subject: [PATCH] resumida una buena parte de la primera clase de calculo --- Calculo II/8_4.org | 49 ++++++++++++++++++++++++++++++++++++++++++++- Calculo II/8_4.pdf | Bin 157160 -> 183608 bytes 2 files changed, 48 insertions(+), 1 deletion(-) diff --git a/Calculo II/8_4.org b/Calculo II/8_4.org index afc3ff6..8a6f2ba 100644 --- a/Calculo II/8_4.org +++ b/Calculo II/8_4.org @@ -7,7 +7,7 @@ 3. Limites dobres 4. Deribadas Parciales y Diferenciales -* Repaso +* Repaso - Parte 1 ** Funciones Lineales \begin{center} $Y = F(x) = m.x + b$ @@ -24,6 +24,38 @@ Y $q(x) \neq 0$ \end{center} +** Funciones Algebraicas +Son funciones que tienen una variable independiente, como lo son: + +- Sustracción. +- Multiplicación. +- División. +- Potenciación. +- Radicación. + +** Funciones Trigonometricas +Son las que usan Seno, Coseno, Y Tangente para dar valor a la *X* de la funcion. + +** Funciones Potenciales +Es una funcion donde el exponente es contante +\begin{center} +$f(x) = x^a$ +\end{center} + +A modo de nota las funciones que sean raices solas tambien son potenciales porque una raiz puede expresarse como +una potencia x^\frac{1}{n} y tambien cuando hay un numero negativo debido a la propiedad que tienen donde + +\begin{center} +$x^-1 = \frac{1}{x}$ +\end{center} + +** Funciones Exponenciales +Son funciones con la forma "f(x) = a^x" donde la a es una constante positiva. + +*** Nota +En los casos donde a es mayor a 0 la grafica va a ser ascendiente mientras que cuando sea menor va a ser desendiente sin tocar 0. + + * Ejercicios Practica (wip) ** A \begin{center} @@ -67,6 +99,21 @@ $x = \pm 2$ El dominio de g(x) son: dom_g = \Re - {2, -2} +* Repaso - Parte 2 +** Limites indeterminados (mirar tema en youtube) +ejemplo: +\begin{center} +$\lim_{x \to \infty } \frac{2x-6}{x^2-9}$ +\end{center} + +** Continuidad de una funcion +Una funcion es continua si se cumplen estas 3 condiciones +1. f(a) está definido. +2. \lim_{x \to a} f(x) existe +3. \lim_{x \to a} f(x) = f(a) * Fuente - Ejercicios material de la clase UAI ultra + +* Notas +me quede en la diapositiva 23 de 29 diff --git a/Calculo II/8_4.pdf b/Calculo II/8_4.pdf index d8fc3f26c9d147c147d150070388db54aaa10b9c..46f07affdf675c5d675e59a97ea517b391574206 100644 GIT binary patch delta 138901 zcmV)RK(oK-%L%xe3y>rMF_&><0x5sBR!vXbFc7`(ugEb`8+ZI|qxMh)9I95Lusu}3 zA)9!sNZADTgSP*^yieSczCcxKKSdr^Oh8!}WDampPu;)<%2mqoXT4xb)kr|%u+OqCi 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