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Froggy Jumps
Froggy Jumps

CONCAVIDAD Y PUNTOS DE INFLEXIÓN

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CONCAVIDAD Y PUNTOS DE INFLEXIÓN

Froggy Jumps

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About this activity

Analiza la concavidad de funciones mediante la segunda derivada y determina puntos de inflexión.

Created by

Andres
Andres
Ecuador
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CONCAVIDAD Y PUNTOS DE INFLEXIÓN

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CONCAVIDAD Y PUNTOS DE INFLEXIÓN
 

Froggy Jumps

CONCAVIDAD Y PUNTOS DE INFLEXIÓNOnline version

Analiza la concavidad de funciones mediante la segunda derivada y determina puntos de inflexión.

by Andres
1

¿Qué indica el signo de la segunda derivada de una función en un punto?

2

Si 𝑓′′(x)>0 en un intervalo, la función es:

3

Si 𝑓′′(x)<0 en un intervalo, la gráfica es:

4

¿Qué es un punto de inflexión?

5

Si 𝑓′′(x)=0 pero no hay cambio de signo en 𝑓′′ entonces:

6

Si una función es cóncava hacia arriba en un intervalo, su gráfica tiene forma de:

7

Si una función es cóncava hacia abajo en un intervalo, su gráfica tiene forma de:

8

Un punto de inflexión puede ocurrir:

9

¿Qué herramienta matemática usamos para determinar concavidad e inflexión?

10

Si una función es cóncava hacia arriba, el valor de su segunda derivada es:

11

Si una función es cóncava hacia abajo, ¿cómo es su segunda derivada en ese intervalo?

12

¿Qué sucede en un punto de inflexión respecto a la forma de la gráfica?

13

Si 𝑓′′(x)>0 y luego 𝑓′′(x)<0 al pasar por un punto, entonces ese punto es:

 
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