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