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Algebra y Geometria

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Matematica Avanzada

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Mexico

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Algebra y Geometria
 

Algebra y GeometriaOnline version

Matematica Avanzada

by Valeria Medina
1

¿Qué es una derivada?

2

¿Qué representa físicamente la derivada de la posición con respecto al tiempo?

3

¿Cuál es el símbolo que representa una derivada?

4

El límite de una función existe si y solo si:

5

¿Qué se necesita para que una función sea derivable en un punto?

6

¿Qué tipo de funciones pueden tener puntos de no derivabilidad?

7

¿Qué significa el término “pendiente instantánea”?

8

¿Qué expresa el teorema del valor medio del cálculo diferencial?

9

¿Cuál es la derivada de una constante?

10

¿Qué significa el límite cuando x tiende a infinito?

11

¿Cuál es la derivada de f(x) = x²?

12

Si f(x) = 3x³ - x² + 5x - 7, ¿cuál es f '(x)?

13

Calcula el límite: lim (x→2) (x² - 4)/(x - 2)

14

Si la velocidad es la derivada de la posición, ¿la aceleración es...?

15

Encuentra la derivada de f(x) = √x

16

La derivada de f(x) = ln(x) es:

17

Deriva: f(x) = e^x

18

Para f(x) = sin(x), su derivada es:

19

¿Cuál es la derivada de f(x) = 1/x?

20

Si una función tiene un mínimo local en x = a, entonces:

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