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Interpretación geométrica de la 1ª derivada

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Interpretación geométrica de la 1ª derivada

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Descubre qué nos dice la derivada en la gráfica.

Created by

Isaias Efren Aucay Piedra
Isaias Efren Aucay Piedra
Ecuador

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Interpretación geométrica de la 1ª derivada
 

Interpretación geométrica de la 1ª derivadaOnline version

Descubre qué nos dice la derivada en la gráfica.

by Isaias Efren Aucay Piedra
1

Geométricamente, la derivada representa la velocidad instantánea de cambio de la función respecto a la variable.

2

La derivada es la integral de la función.

3

Si f'(x0) > 0, f es creciente alrededor de x0.

4

Si f'(x0) < 0, f es decreciente alrededor de x0.

5

La derivada siempre es positiva para funciones que crecen en todos sus puntos.

6

La primera derivada describe la curvatura de la gráfica en ese punto.

7

La magnitud de la derivada da una idea de la rapidez del cambio de la función en ese punto.

8

La derivada en x0 corresponde al cambio promedio entre x0 y x0+1.

9

La derivada en un punto es la pendiente de la recta normal a la gráfica en ese punto.

10

La primera derivada en un punto es la pendiente de la recta tangente en ese punto.

 
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