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)

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)
1
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
2