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Trabajo Práctico 9: derivadas de funciones - AM I

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Trabajo Práctico 9: derivadas de funciones

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  • March 27, 2021
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TRABAJO PRÁCTICO 9
DERIVADA DE FUNCIONES.



1. Dada la función y el punto responder los siguientes items:
a. Calcular .
b. ¿Qué representa el número obtenido?
c. Haga un gráfico aproximado que interprete el resultado.
d. Repita todo lo anterior con y luego con .
e. Calcule (también por definición) el valor de para cualquier .
f. Con la función obtenida en el punto anterior, vuelva a calcular para los tres
valores dados.

2. Mediante la definición obtener la función derivada de cada una de las siguientes funciones.
Indicar además el dominio de y en cada caso
a.
b.
c.

3. Calcular las derivadas de las siguientes funciones:




4. Indicar que representa el siguiente límite y calcular su valor

5. Escribir la ecuación de la recta tangente a las siguientes curvas en los puntos indicados.
Graficar, aproximadamente, las curvas y sus respectivas tangentes

en el punto

en el punto

en el punto

1

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