Etica
Páginas: 5 (1103 palabras)
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
4. Encuentre lassiguientes derivadas
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]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
18- ) [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
19- ) [pic]
[pic]
[pic]
[pic]
[pic]
20- ) [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
21- ) [pic]
[pic]
[pic]...
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
4. Encuentre lassiguientes derivadas
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]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
18- ) [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
19- ) [pic]
[pic]
[pic]
[pic]
[pic]
20- ) [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
21- ) [pic]
[pic]
[pic]...
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