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Examen de la derivada

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Selecciona la respuesta correcta de acuerdo a cada pregunta aplicando la derivada de una funcion

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Examen de la derivada
 

Examen de la derivadaOnline version

Selecciona la respuesta correcta de acuerdo a cada pregunta aplicando la derivada de una funcion

by ISIDRO VEGA SALAZAR
1

¿Cuial es la derivada de una funcion constante?

2

¿ Cual es la formula para calcular la derivada de una funcion elevada a una potencia?

3

¿Cual es la derivada de la funcion f(x)=5x^9?

4

¿Cual es el significado geometrico y fisico de la derivada?

5

Determia la derivada de la funcion f(x)=senx

Explicación

d(c)/dx=0 (derivada de una funcion constante es igual a cero)

df(x)^n/dx=n{f(x)}^n-1{df(x)}/dx (la derivada de una funcion elevada a una potencia n es igual a n que multiplica a la funcion elevada a la potencia n-1 y a la vez todo multiplica a la derivada de la funcion

daf(x)^n/dx=an{f(x)}^n-1{df(x)}/dx , donde a=5, f(x)=x y n=9 y la dx/dx=1

Es la recta que corta a la grafica de la funcion en un solo punto y la velocidad de una particula en ese punto

la formula de la derivad de la funcion senx es: dsenx/dx=cosx

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