Free Printable Derivadas básicas

1.

Si f(x)=k

a)

f'(x)=0

b)

f'(x)=x

c)

f'(x)=k

d)

f'(x)=1

e)

f'(x)=kx

2.

Si f(x)=x

a)

f'(x)=x

b)

f'(x)=kx

c)

f'(x)=1

d)

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

e)

f'(x)=0

3.

f(x)= 5x + x²

a)

f'(x)= 5 + x²

b)

f'(x)= 5 + x

c)

f'(x)= 5 + 2x

d)

f'(x)= 5 + 2x²

e)

f'(x)= 2x - 5

4.

f(x) = x⁶

a)

f'(x)=x⁵

b)

f'(x)=x⁶

c)

f'(x)=6x⁵

d)

f'(x)=6x

5.

f(x) = ln 3x

a)

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

b)

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

c)

f'(x)=3x

d)

f'(x)=ln $\frac{1}{x}$

6.

$y\ =\log_a\ x$

a)

$\frac{1}{x\log_ax}$

b)

$\frac{1}{x\ln x}$

c)

$\frac{1}{x}$

d)

$\frac{1}{x\ln a}$

7.

f(x) = 3^x

a)

f'(x) = 3^x

b)

f'(x) = 3^xln 3

c)

f'(x) = 3^xln x

d)

f'(x) = $3^x$ $\log_3x$

8.

f(x) = sen x y g(x) = cos x

a)

f'(x) = cos x y g'(x) = senx

b)

f'(x) = -cos x y g'(x) = senx

c)

f'(x) = cos x y g'(x) = -senx

d)

f'(x) = -cos x y g'(x) = -senx

9.

f(x) = tg x

a)

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

b)

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

c)

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

d)

f'(x) = $\frac{1}{sen^{ }x\ \cos\ x}$

10.

f(x) = arc tg x

a)

f'(x)= $\frac{1}{x^2+a^2}$

b)

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

c)

f'(x)= $\frac{1}{x+a}$

d)

f'(x)= $\frac{1}{\sqrt{x^2+a^2}}$

Derivadas básicas

Total questions: 10

Worksheet time: 6mins

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