DERIVADAS

1. g(x)±f(x) g'(x)±f'(x)

2. g(x).f(x) g(x).f'(x)+g'(x).f(x)

3. g(x) g'(x).f(x)-f'(x).g(x)

f(X) [f(x)]2

4. Ln f(x) f'(x)

f(x)

5. ag(x) ag(x).Ln(a).g'(x)

6. eg(x) eg(x) .g'(x)

7. f(x)m m.f(x)m-1.f'(x)

8. loga[g(x)] g'(x) . logae

g(x)

9. f(x)g(x) f(x)g(x).Ln[f(x)].g'(x)+g(x).f(x)g(x)-1.f'(x)

10. a f(x) a.f'(x)

11. a 0

12. Sen[g(x)] Cos[g(x)].g'(x)

13. Cos[g(x)] -Sen[g(x)].g'(x)

14. Tang[g(x)] Sec2[g(x)].g'(x)

15. Ctang[g(x)] -Csc2[g(x)].g'(x)

16. Sec[g(x)] Sec[g(x)].Tan[g(x)].g'(x)

17. Csc [g(x)] -Csc[g(x)].Ctang[g(x)].g'(x)

18. Arcotang[g(x)] g'(x)

1+g2(x)

19. ArcoCtang[g(x)] - g'(x)

1+g2(x)

20. ArcoSen[g(x)] g'(x)

"1-g2(x)

21. ArcoCos[g(x)] - g'(x)

"1-g2(x)

22. ArcoSec[g(x)] g'(x)

g(x)"g2(x)-1

23. ArcoCsc[g(x)] - g'(x)

g(x)"g2(x)-1

24. n"u n"u . u'

n.u