Free Printable Derivadas

1.

$y=3x^2-6x+5$

a)

$y´=6x+6$

b)

y´=6x-6

c)

y´=x+6

d)

y´=x-6

2.

y=(x+1).(x-3)

a)

y=2x-2

b)

y=x-2

c)

y=x+2

d)

y=2x+2

3.

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

a)

$y´=3x^2+\frac{2}{3}x+1$

b)

$y´=3x^2+\frac{2}{3}x+3$

c)

$y´=x^2+2x+3$

d)

$y´=x^2+\frac{2}{3}x+3$

4.

$y=\frac{3}{x^2}-\frac{5}{x^3}$

a)

$y´=-6x^{-3}+15x^{-4}$

b)

$y´=-6x^{-3}-15x^{-4}$

c)

$y´=\frac{6}{x^3}+\frac{15}{x^4}$

d)

$y´=\frac{-6}{x^3}-\frac{15}{x^4}$

5.

$y=\frac{x^2}{x^3-1}$

a)

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

b)

$y´=\frac{-x^4-2x}{x^3-1}$

c)

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

d)

$y´=\frac{-5x^4-2x}{\left(x^3-1\right)^2}$

6.

$y=\frac{-6}{x}$

a)

$y=\frac{6}{x^2}$

b)

$y=-6x^2$

c)

$y=-6x^{-2}$

d)

$y=\frac{6}{x^{-2}}$

7.

$y=\frac{3}{2}x^4-\frac{2}{3}x^3+\frac{5}{4}x^2-6x+\frac{1}{3}$

a)

$y´=6x^3-2x^2+\frac{5}{2}x$

b)

$y´=6x^3-2x^2+\frac{5}{2}x-6$

c)

$y´=x^3-2x^2+\frac{5}{2}x-6$

d)

$y=6x^3-x^2+\frac{5}{2}x-6$

8.

$y=\left(x^2-2\right)^2$

a)

$y´=4x^3-8x$

b)

$y´=4x^3+8x$

c)

$y´=2.\left(x^2-2\right)$

d)

$y´=2\left(x^2+2\right)$

Derivadas

Total questions: 8

Worksheet time: 1hrs 20mins

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