C´
ALCULO DE FUNCIONES DERIVADAS 2
[TIPO POTENCIA]
1. f(x) = 1 + x27
2. f(x) = (1 −5x)6
3. f(x) = 3x2+ 5x−13
4. f(x) = 3+2x24
5. f(x) = x+ 1
x−13
6. f(x) = ln3x
7. f(x) = 3 + x
3
2
3
5
8. f(x) = 5x+ 3
x2+ 1 2
[TIPO RA´
IZ]
1. f(x) = √1−x2
2. f(x) = √ex
3. f(x) = √ln x
4. f(x) = √3x2+ 4x+ 3
[TIPO LOGAR´
ITMO]
1. f(x) = ln x2
2. f(x) = ln (3x+ 5)
3. f(x) = ln x2+ 7x−3
4. f(x) = ln x+ 1
x−1
5. f(x) = ln ex
6. f(x) = ln 3x−1
7
[TIPO EXPONENCIAL]
1. f(x) = e3x
2. f(x) = ex3
3. f(x) = ex2−5x+6
4. f(x)=2ex3+2x
5. f(x) = e√x
6. f(x) = e
5x−1
3
7. f(x) = e
x+1
x
[DIVERSOS TIPOS]
1. f(x) = 2x2
−32
2. f(x) = x2+a25
3. f(x) = ln 1 + x
1−x
4. f(x) = ln (ln x)
5. f(x) = e4x+5
6. f(x) = sin4x
7. f(x) = sin x4
8. f(x) = sin 4x
9. f(x) = x2+ 1
4
3
10. f(x) = ln x
x2−1
11. f(x) = ex+e−x
12. f(x) = eex+2x
13. f(x)=2x+e5x
14. f(x) = ln r1 + x
1−x
15. f(x) = x2+ 2x+ 4
(x+ 1)2
16. f(x) = x3
(x−1)2
17. f(x) = −5x+ 7
(x−3)3
18. f(x) = 3
(2x+ 1)2
