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Ejercicio Derivadas
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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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