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Derivadas: Preguntas rápidas

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Quiz de derivadas para practicar

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Ecuador

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Derivadas: Preguntas rápidas
 

Derivadas: Preguntas rápidasOnline version

Quiz de derivadas para practicar

by Didier Portilla
1

¿Cuál es la derivada de f(x)=x^3?

2

¿Qué regla se usa para derivar f(x)=sin(x)?

3

¿Deriva d/dx (e^x) ?

4

¿Cuál es la derivada de f(x)=ln(x)?

5

¿Cómo se deriva f(x)=a·x^n?

6

¿Derivada de f(x)=cos(x)?

7

¿Qué significa d/dx (x^2+3x)?

8

¿Derivada de f(x)=tan(x)?

9

¿Qué regla se aplica para derivar (uv)' = u'v+uv'?

10

¿Deriva f(x)=sqrt(x)=x^(1/2) ?

Explicación

La potencia baja a n·x^(n-1) para n=3.

La derivada de sen(x) es cos(x).

La derivada de e^x es e^x porque la base es la misma que la variable.

La derivada de ln(x) es 1/x para x>0.

Regla de la potencia y constante fuera del logaritmo.

La derivada de cos(x) es -sin(x).

La derivada es la suma de las derivadas: 2x y 3.

La derivada de tan(x) es sec^2(x).

Es la Regla del Producto para productos de funciones.

Si x>0, d/dx x^(1/2) = (1/2)x^(-1/2).

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