Lección Primeras 3 leyes de la derivada

​Derivada utilizando reglas

By Araceli C

​Fórmula

Math Response

f(x)=5

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

f(x)=0

Type answer here

Correct Answer: 0

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Math Response

f(x)=-1/2

Type answer here

Correct Answer: -\frac{1}{2}

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Math Response

f(x)=6

Type answer here

Correct Answer: 6

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Math Response

f(x)=-9.3

Type answer here

Correct Answer: 9.3

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Math Response

f(x)=k, para cualquier número constante k, la derivada es

Type answer here

Correct Answer: k

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Math Response

$$f\left(x\right)=x$$

Type answer here

Correct Answer: 1

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Math Response

$$f\left(x\right)=-x+5$$

Type answer here

Correct Answer: -1

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Math Response

$$f\left(x\right)=-5x-\frac{1}{2}$$

Type answer here

Correct Answer: -5

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Math Response

$$f\left(x\right)=\frac{11}{7}x+4$$

Type answer here

Correct Answer: \frac{11}{7}

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Math Response

En base a los resultados obtenidos, pudiste observar que la derivada de toda función lineal $$f\left(x\right)=mx+b$$ es:

Type answer here

Correct Answer: m

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Multiple Choice

La derivada de la función $$f\left(x\right)=x^5$$

• $$f´\left(x\right)=4x^5$$

• $$f´\left(x\right)=5x^4$$

• $$f´\left(x\right)=5x^5$$

Multiple Choice

La derivada de la función $$f\left(x\right)=x^2$$

• $$f´\left(x\right)=2x^3$$

• $$f´\left(x\right)=2x^2$$

• $$f´\left(x\right)=2x^{ }$$

Multiple Choice

La derivada de la función $$f\left(x\right)=x^4$$

• $$f´\left(x\right)=4x^3$$

• $$f´\left(x\right)=3x^4$$

• $$f´\left(x\right)=3x^2$$

​Ejemplo derivada de una función con exponentes racionales

Multiple Choice

Derivada de $$f\left(x\right)=\frac{1}{x^2}$$

• $$f´\left(x\right)=-\frac{2}{x^3}$$

• $$f´\left(x\right)=-\frac{3}{x^3}$$

• $$f´\left(x\right)=-\frac{2}{x^2}$$

Multiple Choice

Derivada de $$f\left(x\right)=\frac{3}{x^5}$$

• $$f´\left(x\right)=-\frac{15}{x^6}$$

• $$f´\left(x\right)=-\frac{15}{x^5}$$

• $$f´\left(x\right)=\frac{15}{x^7}$$

Multiple Choice

Derivada de $$f\left(x\right)=x+\frac{2}{x}$$

• $$f´\left(x\right)=1-\frac{2}{x^2}$$

• $$f´\left(x\right)=1+\frac{2}{x^2}$$

• $$f´\left(x\right)=\frac{2}{x^2}$$