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DERIVADA - REGLA DE LA CADENA

Authored by Edgardo Gamero Tello

Mathematics

University

Used 17+ times

DERIVADA - REGLA DE LA CADENA
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

La derivada de f(x)=2x+3f\left(x\right)=\sqrt{2x+3} es 

 12x+3\frac{1}{\sqrt{2x+3}}  

 122x+3\frac{1}{2\sqrt{2x+3}}  

 22x+3\frac{2}{\sqrt{2x+3}}  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Si la función f(x)=(x2−x+2)4f\left(x\right)=\left(x^2-x+2\right)^4 , hallar f´(0) 

64

-32

20

-16

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Sea la función f(x)=1(x3−9)2f\left(x\right)=\frac{1}{\left(x^3-9\right)^2} , hallar f´(2) 

-12

24

-6

12

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Si h(x)=f(x2−3)h\left(x\right)=f\left(x^2-3\right) , además  f(1)=2; f´(1)=3f\left(1\right)=2;\ f´\left(1\right)=3 . Hallar  h´(2)h´\left(2\right)  

3

4

6

12

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Calcula la derivada de la función:

f(x)=5(x2+2x)4

f´(x)=20(x2+2x)3(2x+1)

f´(x)=40(x2+3x)3(x+2)

f´(x)=40(x2+3x)3(x+1)

f´(x)=(x2+3x)3(2x)

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Si h(x)=f(3x−2)h\left(x\right)=f\left(3x-2\right) , además  f(1)=4; f´(1)=2f\left(1\right)=4;\ f´\left(1\right)=2 . Hallar  h´(1)h´\left(1\right)  

3

4

6

12

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Hallar la derivada  f(x)=3x2−xf\left(x\right)=\sqrt{3x^2-x}  

 6x23x2−x\frac{6x}{2\sqrt{3x^2-x}^{ }}  

 6x−13x2−x\frac{6x-1}{\sqrt{3x^2-x}}  

 6x−123x2−x\frac{6x-1}{2\sqrt{3x^2-x}}  

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