Derivada de constantes y x^n

Multiple Choice

Deriva la función siguiente: $$f\left(x\right)=x^7$$  

• $$f´\left(x\right)=\frac{x^6}{7}$$  

• $$f´\left(x\right)=7x^7$$  

• $$f´\left(x\right)=7x^6$$  

• $$f´\left(x\right)=7x^7$$  

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La derivada de la función: $f´\left(x\right)=\frac{3x-9}{3}$  

Multiple Choice

La derivada de la función $$f\left(x\right)=\frac{\sqrt[]{x}}{x}$$   es:

• $$f´\left(x\right)=-2\ \sqrt[]{x}$$  

• $$f´\left(x\right)=-\frac{1}{2x^{\frac{3}{2}}}$$  

• $$f´\left(x\right)=-\frac{2}{x^{\frac{3}{2}}}$$  

• $$f´\left(x\right)=-\frac{2}{\sqrt[]{x}}$$  

Multiple Choice

La derivada de $$f\left(x\right)=\frac{x}{\sqrt[]{x}}$$  es:

• $$f´\left(x\right)=-2\ \sqrt[]{x^3}$$  

• $$f´\left(x\right)=-\frac{1}{2x^{\frac{3}{2}}}$$  

• $$f´\left(x\right)=-\frac{2}{\sqrt[]{x}}$$  

• $$f´\left(x\right)=\frac{1}{2\ \sqrt[]{x}}$$  

Fill in the Blanks

La derivada de $f\left(x\right)=-\frac{3}{x^{-1}}$  es:

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La derivada de la función $y=10$   es:

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La derivada de la función: $f\left(x\right)=4x^2-8x+8$  es:

Multiple Choice

Deriva la función: $$f\left(x\right)=\frac{1}{x^3}$$  

• $$f´\left(x\right)=\frac{1}{3x^2}$$  

• $$f´\left(x\right)=-3x^2$$  

• $$f´\left(x\right)=-\frac{3}{x^2}$$  

• $$f´\left(x\right)=-\frac{3}{x^4}$$  

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La derivada de $f\left(x\right)=5m^2$  es:

Multiple Choice

La derivada de la función $$f\left(x\right)=\frac{4}{\sqrt[]{x}}$$   es:

• $$f´\left(x\right)=-\frac{2}{x^{\frac{3}{2}}}$$  

• $$f´\left(x\right)=-\frac{2}{\sqrt[]{x}}$$  

• $$f´\left(x\right)=\frac{2}{\sqrt[]{x}}$$  

• $$f´\left(x\right)=-2x^{\frac{3}{2}}$$