Cálculo diferencial

Grafica y calcula
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Dibuja la gráfica de una función con las propiedades dadas

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Utiliza la gráfica para encontrar cada límite, si es que existe

|a) [pic] |b) [pic] |c) [pic]|


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|a) [pic] |b) [pic]|c) [pic] |d) [pic] |
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Calcula el límite indicado, si es que existe.
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Utiliza la gráfica para calcular
|a) [pic] |b) [pic] |c)[pic] |d) [pic] |
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Obtén el valor del límiteindicado
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Traza la gráfica de una función que satisfaga las siguientes condiciones
1. [pic]
2. [pic]




CONTINUIDAD
Grafica y determina, si los hay, los números en que la función es discontinua.
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Para cada una de las funciones, determinar si es continua o no en el valor de x indicado, justificando la respuesta con la definición de continuidad

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[pic]Determina si la función dada es continua en los intervalos indicados.

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DERIVADAS
Calcula la derivada de la función

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Obtén la pendiente de la recta tangente en el valor dado[pic] [pic] [pic]
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Obtener las derivadas utilizando teoremas

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18. [pic]

19. [pic]
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1. Calcula la ecuación de la recta tangente a la curva y = x3 – 4 en el punto (2,4)
2. Calcula la ecuación de la recta tangente a la curva y = (x + 3)2 en el punto (-1,4)
3. Calcula la ecuación de la recta tangente a la curva y = 1/x en el punto (1,1)
4. Obtén la ecuación de la recta normal a la curva y = 10 / (14 – x2) en el punto (4,-5)
5. Obtén la ecuación de la recta...