Free Printable Derivadas regla 1 a la 7

1.

$f\left(x\right)=5x^2$ ¿Cual es la derivada?

a)

$f´\left(x\right)=10x^2$

b)

$f´\left(x\right)=10x$

c)

$f\left(x\right)=10x$

d)

$f´\left(x\right)=5\cdot2\cdot x^2$

2.

$f\left(x\right)=x^7+25$

a)

$f´\left(x\right)=7x^6+1$

b)

$f´\left(x\right)=7x^6+25$

c)

$f´\left(x\right)=x^7$

d)

$f´\left(x\right)=7x^6$

3.

$f\left(x\right)=x^2+3x-4$

a)

$f´\left(x\right)=2x+3$

b)

$f´\left(x\right)=2x-1$

c)

$f´\left(x\right)=2x+3x$

d)

$f´\left(x\right)=2x^2+3x$

4.

$f\left(x\right)=\frac{\text{4}}{\text{3}}\pi x^3$

a)

$f´\left(x\right)=\frac{\text{12}}{\text{3}}\pi^2$

b)

$f´\left(x\right)=4\pi x^2$

c)

$f´\left(x\right)=\frac{12}{3}\pi x^2$

5.

$y=5x^8-2x^5+6$

a)

$y´=40x^9-10x^6$

b)

$y´=40x^7-10x^4$

c)

$y´=40x^8-10x^5$

d)

$y´=40x^7-10x^4+6x$

6.

$y=x^2e^x$

a)

$y´=x\left(x+2\right)e^x$

b)

$y´=x^2\left(x+2\right)e^x$

c)

$y´=e^x\left(x+1\right)$

7.

$y=4\sqrt{x}$

a)

$y´=\frac{4}{2\sqrt{x}}$

b)

$y´=\frac{2}{\sqrt{x}}$

c)

$y´=\frac{1}{2\sqrt{x}}$

8.

$y=\frac{1}{x^4+x^2+1}$

a)

$y´=\frac{\left(\left(x^4+x^2+1\right)4x^3+2x\right)}{\left(x^4+x^2+1\right)^2}$

b)

$y´=-\frac{\left(4x^3+2x\right)}{\left(x^4+x^2+1\right)^2}$

c)

$y´=\frac{\left(4x^3+2x\right)}{\left(x^4+x^2+1\right)^2}$

9.

$y=-\frac{2}{x^4}$

a)

$y´=-\frac{4}{x^2}$

b)

$y´=-\frac{4}{x^5}$

c)

$y´\left(x\right)=-\frac{8}{x^5}$

d)

$y´\left(x\right)=\frac{8}{x^5}$

10.

¿Cual es la formula de la derivada de una potencia?

a)

$y´=\frac{\left(n\cdot x^{\left(n+1\right)}\right)}{n+1}$

b)

$y´=n\cdot x^n+1$

c)

$y´=n\cdot x^{\left(n-1\right)}$

d)

$y´=n\cdot x^{\left(n+1\right)}$

Derivadas regla 1 a la 7

Total questions: 10

Worksheet time: 3mins

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