Ejercicios: Calcule la derivada de las siguientes funciones.
1. f ( x )=2x3
2. f ( x )=3 x4+7
3. f ( x )=x2+x+6
4. f ( x )=√2 x5
5. f ( x )=−2x4
6. f ( x )=2x4−3x
7. f ( x )=9−3 x−2 x2
8. f ( x )= 5x−3
9. f ( x )= 1x+3
10. f ( x )=34x+ 13
11. f ( x )=−3x−3
12. f ( x )=5 x7+2 x−6
13. f ( x )=−8x10
14. f ( x )=5 x4−2x3+6 x−2
15. f ( x )= 3
5 x5
16. f ( x )=4 x10+12x7−5 x4+8
17. f ( x )= 6√x
18. f ( x )=3 x−5+2 x−3
19. f ( x )=1x+
1
x2-1
x3
20. f ( x )=3 x3−3 3√ x+ 3x3
−3
21. f ( x )=3 x2−2 x3 x
22. f ( x )=( x2+2 ) (x3+1)
23. f ( x )=( x4−1 )( x2+1)
24. f ( x )= 1
3 x2+1
25. f ( x )= 2
5 x2−1
26. f ( x )= x−1x+1
27. f ( x )=2 x−1x−1
28. f ( x )=(1−x )2
29. f ( x )=(5 x2−3√x )5
30. f ( x )= 5√(2x2−3 x+1)3
31. f ( x )=(2x−5)7
2 x
32. f ( x )=sen (3 x−1 )
33. f ( x )=cos2x7
34. f ( x )=tan 3√ x
35. f ( x )=sec (1−2 x−x3)
36. f ( x )=sen5 x+cos5 x
37. f ( x )=tan5 x5
38. f ( x )=cot√x−csc 3√x
39. f ( x )=√sen22x
40. f ( x )= 2x−1tan5 x
41. f ( x )=cos ¿
42. f ( x )=arc sen (2x−1 )
43. f ( x )=arc cos (x2¿+3)¿
44. f ( x )=arc tan (1+x+ x2)
45. f ( x )=arc cot(3 x2¿−1)¿
46. f ( x )=arc sec (5−x )
47. f ( x )=arc csc 3√x
48. f ( x )=arc cot√ x
49. f ( x )=√arc sen2 x
50. f ( x )=arc tan 5 xcot 7 x
51. f ( x )=(arc sen3 x)5
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