Free Printable derivadas básicas

1.

$f\left(x\right)=50\pi$

a)

$f'\left(x\right)=0$

b)

$f'\left(x\right)=50$

c)

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

2.

$f\left(x\right)=\frac{x}{3}+\frac{\pi}{5}$

a)

$f´\left(x\right)=\frac{1}{3}+\frac{\pi}{5}$

b)

$f'\left(x\right)=\frac{8}{15}$

c)

$f'\left(x\right)=\frac{1}{3}$

d)

$f'\left(x\right)=\frac{\pi}{5}$

3.

$f\left(x\right)=\frac{17}{5}\theta$

a)

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

b)

$f'\left(x\right)=0$

c)

$f'\left(x\right)=\frac{17}{5}$

d)

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

4.

$f\left(x\right)=150x$

a)

$f'\left(x\right)=0$

b)

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

c)

$f'\left(x\right)=150$

d)

$f'\left(x\right)=300x^2$

5.

$f\left(x\right)=7x+5\pi+50$

a)

$f´\left(x\right)=7$

b)

$f'\left(x\right)=57+5\pi$

c)

$f'\left(x\right)=0$

d)

$f'\left(x\right)=7x+5\pi$

6.

$f\left(x\right)=\frac{x^2}{2}+5$

a)

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

b)

$f'\left(x\right)=2x+5$

c)

$f'\left(x\right)=2x+5$

d)

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

7.

$f\left(x\right)=x^6$

a)

$f'\left(x\right)=x^5$

b)

$f'\left(x\right)=x^6$

c)

$f'\left(x\right)=6x^5$

d)

$f'\left(x\right)=6x$ f'(x)=6x

8.

$f\left(x\right)=5x^2+10x$

a)

$f'\left(x\right)=5x+10$

b)

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

c)

$f'\left(x\right)=5$

d)

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

9.

$f\left(x\right)=2x^2+8$

a)

$f'\left(x\right)=2x+8$

b)

$f'\left(x\right)=2x$

c)

$f'\left(x\right)=4x$

10.

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

a)

$f'\left(x\right)=0$

b)

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

c)

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

11.

f\left(x\right)=\ 2x^2+7x+2

a)

$f'\left(x\right)=2x+7$

b)

$f'\left(x\right)=4x-7$

c)

$f'\left(x\right)=4x+7$

12.

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

a)

$f'\left(x\right)=\frac{1}{4}x^2$

b)

$f'\left(x\right)=\frac{3}{4}x^2+2$

c)

$f'\left(x\right)=\frac{3}{4}x^2$

13.

$f\left(x\right)=\sqrt{x}+2x$

a)

$f'\left(x\right)=\sqrt{x}$

b)

$f'\left(x\right)=2$

c)

$f'\left(x\right)=\frac{1}{2\sqrt{x}}+2$

d)

$f'\left(x\right)=\sqrt{x}+2$

14.

$f\left(x\right)=\frac{x^4}{\pi}+3x^2$

a)

$f'\left(x\right)=\frac{4}{\pi}x^3+6x$

b)

$f'\left(x\right)=\frac{x^3}{\pi}+3x$

c)

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

15.

$f\left(x\right)=\frac{6}{7}x+\frac{1}{x}$

a)

$f'\left(x\right)=\frac{6}{7}-\frac{1}{x^2}$

b)

$f'\left(x\right)=\frac{15}{7}$

c)

$f'\left(x\right)=\frac{6}{7}x$

d)

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

16.

Calcula la derivada de $7$

a)

$7$

b)

No se puede calcular

c)

$7x$

d)

$0$

17.

cual es la derivada de la siguiente función

f\left(x\right)=\sqrt{x^3}

a)

$f\left(x\right)'=\frac{3}{2}\sqrt{x}$

b)

$f\left(x\right)'=\frac{2}{3}\sqrt{x}$

c)

$f\left(x\right)'=\sqrt{x}$

18.

La deriva de la siguiente función

f\left(x\right)=\frac{3}{2x}+3x\ \ \ es\ f\left(x\right)'=-\frac{3}{2x^2}+3x

a)

verdadero

b)

falso

19.

Cual es la derivada dela siguiente función

f\left(x\right)=^3\sqrt{x^7}+9x^2-\frac{3}{x^3}

a)

$f\left(x\right)'=\frac{7}{3}^3\sqrt{x^4}+9x^2+\frac{3}{x^4}$

b)

$f\left(x\right)'=\frac{7}{3}^3\sqrt{x^4}+18x+\frac{3}{x^4}$

c)

$f\left(x\right)'=\frac{7}{3}^3\sqrt{x^4}+18x+\frac{9}{x^4}$

20.

La pendiente de la recta tangente a la curva $f\left(x\right)=x^4-3x^2+2$ en el punto $\left(1,0\right)$ es:

a)

0

b)

1

c)

-1

d)

-3

21.

La ecuación de la recta tangente a la curva $f\left(x\right)=x^4-3x^2+2$ en el punto $\left(1,0\right)$ es:

a)

$y=\frac{1}{2}x-\frac{1}{2}$

b)

$y=-\frac{1}{2}x-\frac{1}{2}$

c)

$y=-2x-2$

d)

$y=-2x+2$

derivadas básicas

Total questions: 21

Worksheet time: 14mins

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