1. Calcula las siguientes derivadas

1. f ( x )=5 x3−3 x2+2x−6

2. f ( x )= 14x4−2

3x3−x+8

3. f ( x )=(6 x2−8 x)(5x3+3 x)

4. f ( x )=(7 x3−2x+3 )4

5. f ( x )=3√ x+3

6.f ( x )=3 x

3−x2

x+3

7. f ( x )=(3 x2−4 ) (3 x2−4 )3

8. f ( x )=5 x3 (x2+8 )

9.f ( x )=√ x+1x−1

10.f ( x )=

(5 x+2 )2

6 x

1

Nombre: ____________________________________ Matrícula ____________

Ejercicio Integrador de Derivadas

11. f ( x )=tan 5x3

12. f ( x )=cot (7 x3−x )

13. f ( x )=sec (3x+6 )3

14. f ( x )=csc (6 x2+1 )

15. f ( x )=3 x2+senx

16. f ( x )=3 sen5x2

17. f ( x )=2sec7 x3

18.f ( x )=1−cos x

x

19. f ( x )=x2cos3 x

20. f ( x )=sen2 x−3x 4

2

21. f ( x )=e5 x

22. f ( x )=8e3 x2

23. f ( x )=e√x+5e x2

24. f ( x )=4( x2+3 )

25. f ( x )=26 x+3x

26.f ( x )= ln x+ ln 1

x

27. f ( x )=5 ln x3−8

28. f ( x )=ln (5 x2−7 x )3

29. f ( x )=log8 (x3+8 )

30. f ( x )=log2 (5 x3−6 )4

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