# Etica

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• Publicado : 23 de agosto de 2010

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Solución de la guía   “Ejercicios de derivadas”
Roger Del Cristo Rodríguez Reyes
Enrique José Anaya Sierra
Saulo Manuel Patiño
ing.cohen@gmail.com

1. Calcula la función derivada de las siguientes  funciones
2. Calcular las derivadas de las siguientes funciones
3. Comprobar que la función f(x) = eax sen bx, satisface la relación
5.       Determine las tangentes de los ángulos que forman con el eje positivo de las x las líneas tangentes a la curva y
6. Reflexiones

EJERCICIOS
A-) Calcula la función derivada de las siguientes  funciones:
01- )     y = 3x -4 + 3x 4

y’= [pic]

y’= (3) (-4)x -4-1 + (3)(4) 4-1

y’= -12x -5 + 12x 3

[pic]

02- )     y = 5x-2

y’ = [pic]

y’= (5) (-2) x -2-1

y’= -10x -3

[pic]

03- )    y = [pic]

y’ = [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]
y’= [pic]

[pic]

04- )     y’= x3 sen x

y’= [pic]

y’= sen x [pic]+ x3 [pic]

y’= senx (3x 3-1) + x3 (cos x [pic])

y’= sen x (3x2) + x3 cos x (1)

[pic]

05- )     [pic]

y’ [pic]

y’ [pic]

y’ [pic]

y’ [pic]

[pic]

06- )     [pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

07- )     y= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

[pic]

08- )     y = [pic]

y’= [pic]

[pic]      y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

[pic]

09- )     y = [pic]      [pic]   y = (senx) [pic]
y’= [pic]

y’= [pic][pic]

y’= [pic]

[pic]

10- )      y = [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]
[pic]
y’= [pic]

[pic]

11- )      y = tan (2x + 1)

y’= [pic]

y’=[pic]

y’= [pic]

y’= [pic]

[pic]

12- )      y = [pic]         [pic]       y = sec x

y’= [pic]

y’= [pic]

[pic]

13- )      y = x5 esen x

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]
y’= [pic]

y’= [pic]

[pic]

14- )     y = [pic]           [pic]        y = [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

[pic]

15- )      y = [pic]              [pic]      y = [pic]

y’= [pic]

y’= [pic]

y’= [pic]

y’= [pic]

[pic]

16- )      [pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

17- )      [pic]

[pic]

[pic]

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[pic]

[pic]

[pic]

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[pic]

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18- )      [pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

19- )      [pic]

[pic]

[pic]

[pic]

[pic]

20- )      [pic]

[pic]

[pic]

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21- )      [pic]

[pic]

[pic]...