Free Printable Formulas de las Derivadas

1.

Derivada de $f\left(x\right)=\sqrt{g\left(x\right)}$

a)

$f\left(x\right)=\frac{1}{2\cdot g\left(x\right)}\cdot g´\left(x\right)$

b)

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

c)

$f\left(x\right)=\frac{1}{2}\cdot g´\left(x\right)$

2.

Derivada de $f\left(x\right)=\left(g\left(x\right)\right)^n$

a)

$f\left(x\right)=n\cdot\left(g\left(x\right)\right)^{n-1}\cdot g´\left(x\right)$

b)

$f\left(x\right)=n\cdot\left(g\left(x\right)\right)^{n-1}$

c)

$f\left(x\right)=\left(g\left(x\right)\right)^{n-1}\cdot g´\left(x\right)$

3.

Derivada de $f\left(x\right)=x^n$ ?

a)

$f´\left(x\right)=x^{n-1}$

b)

$f´\left(x\right)=n\cdot x^{n-1}$

c)

$f´\left(x\right)=n\cdot x^n$

d)

$f´\left(x\right)=n\cdot x^{n+1}$

4.

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

a)

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

b)

$f´\left(x\right)=\frac{\sqrt{x}}{2}$

c)

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

d)

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

5.

Derivada de

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

a)

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

b)

$f´\left(x\right)=\frac{1}{x}\cdot\log_a\left(e\right)$

c)

$f´\left(x\right)=\frac{1}{e}\cdot\log_a\left(x\right)$

d)

$f´\left(x\right)=\frac{1}{e}\cdot\log_a\left(e\right)$

6.

Derivada de $f\left(x\right)=\log\left(x\right)_{ }$

a)

$f´\left(x\right)=\log\left(x\right)$

b)

$f´\left(x\right)=\frac{1}{x}$

c)

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

d)

$f´\left(x\right)=\frac{1}{x}\cdot\log\left(e\right)$

7.

Derivada de $f\left(x\right)=sen\left(x\right)$

a)

$f´\left(x\right)=\cos\left(x\right)$

b)

$f´\left(x\right)=-\cos\left(x\right)$

c)

$f´\left(x\right)=tag\left(x\right)$

d)

$f´\left(x\right)=\operatorname{cosec}\left(x\right)$

8.

Derivada de $f\left(x\right)=sen\left(x\right)$

a)

$f´\left(x\right)=\cos\left(x\right)$

b)

$f´\left(x\right)=-\cos\left(x\right)$

c)

$f´\left(x\right)=tag\left(x\right)$

d)

$f´\left(x\right)=\operatorname{cosec}\left(x\right)$

9.

Derivada de $f\left(x\right)=\cos\left(x\right)$

a)

$f´\left(x\right)=sen\left(x\right)$

b)

$f´\left(x\right)=-sen\left(x\right)$

c)

$f´\left(x\right)=tag\left(x\right)$

d)

$f´\left(x\right)=\operatorname{cosec}\left(x\right)$

10.

Derivada de $f\left(x\right)=tg\left(x\right)$

a)

$f´\left(x\right)=1+tg^2\left(x\right)$

b)

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

c)

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

d)

$f´\left(x\right)=\frac{1}{1+x^2}$

11.

La derivada de f(x) = c es...

a)

1

b)

c

c)

no tiene

d)

0

12.

La derivada de f(x) = x es...

a)

1

b)

0

c)

x

d)

c

13.

La derivada de y = f(x) + g(x) - h(x) es...

a)

f ' (x) + g ' (x) - h ' (x)

b)

f ' (x) g ' (x) h ' (x)

c)

f ' (x) + g(x) - h(x)

d)

f ' (x) g(x) - f '(x) h(x)

14.

La derivada de y = u v es...

a)

u v' + v u'

b)

u' v'

c)

u' + v'

d)

u v' - v u'

15.

La derivada de y = u / v es...

a)

(v u' - u v') / v²

b)

(v u' + u v') / v²

c)

(u v' - v u') / v²

d)

v u' - u v' / v²

16.

La derivada de f(x) = e^x es...

a)

e^x

b)

x e^x-1

c)

x e^x+1

d)

x e^x

17.

La derivada de f(x) = ln x es...

a)

1 / x

b)

ln x / x

c)

x / ln x

d)

ln x

18.

La derivada de f(x) = cot x es...

a)

- csc² x

b)

csc² x

c)

csc x

d)

- csc x

19.

Derivada de $f\left(x\right)=\arccos\left(x\right)$

a)

$f´\left(x\right)=1+tg^2\left(x\right)$

b)

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

c)

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

d)

$f´\left(x\right)=\frac{1}{1+x^2}$

20.

Derivada de $f\left(x\right)=arcsen\left(x\right)$

a)

$f´\left(x\right)=1+tg^2\left(x\right)$

b)

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

c)

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

d)

$f´\left(x\right)=\frac{1}{1+x^2}$

21.

Derivada de $f\left(x\right)=arctag\left(x\right)$

a)

$f´\left(x\right)=1+tg^2\left(x\right)$

b)

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

c)

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

d)

$f´\left(x\right)=\frac{1}{1+x^2}$

22.

Derivada de $f\left(x\right)=\left(g\left(x\right)\right)^n$

a)

$f\left(x\right)=n\cdot\left(g\left(x\right)\right)^{n-1}\cdot g´\left(x\right)$

b)

$f\left(x\right)=n\cdot\left(g\left(x\right)\right)^{n-1}$

c)

$f\left(x\right)=\left(g\left(x\right)\right)^{n-1}\cdot g´\left(x\right)$

Formulas de las Derivadas

Total questions: 22

Worksheet time: 11mins

Similar Resources on Wayground