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About this activity

Desafío conceptual de cálculo

Created by

Profesora Carmen Samudio
Profesora Carmen Samudio
United States

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Desafío conceptual de cálculo

by Profesora Carmen Samudio
1

Puedo decir cuánto cambia una cantidad en un instante, observando la pendiente de la curva de una función en un punto. Si esa pendiente varía a lo largo de la gráfica y depende de la posición, ¿qué herramienta matemática me permite hallar esa tasa de cambio exacta en ese instante?

Pistas

Se obtiene como el límite del cociente de diferencias cuando el intervalo entre puntos tiende a cero.

Es la tasa de cambio instantánea, es decir, la pendiente en un punto de la curva.

Se interpreta como la tasa de cambio de una cantidad respecto a otra.

2

Soy un número que cambia dependiendo del punto donde me evalúan. ¿Qué soy?

3

Si una función es constante, ¿cómo es su derivada?

4

¿Qué indica que la derivada de una función sea positiva en un intervalo?

 
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