1. Regras de Deriva¸c˜ao
K constante, n ∈ R{−1}, u e v fun¸c˜oes diferenciaveis
1. K = 0
2. (Ku) = Ku
3. (xn
) = nxn−1
4. (un
) = nun−1
u
5. (u + v) = u + v
6. (u.v) = u v + uv
7. (u
v
) = u v−uv
v2
8. (sin u) = u cos u
9. (cos u) = −u sin u
10. (tan u) = u sec2
u
11. (cotg u) = −u cosec2
u
12. (sec u) = u sec u tan u
13. (cosec u) = −u cosec u cotg u
14. (arcsin u) = u√
1−u2
15. (arccos u) = − u√
1−u2
16. (arctg u) = u
1+u2
17. (arccotg u) = − u
1+u2
18. (arcsec u) = u
|u|
√
u2−1
19. (arccosec u) = − u
|u|
√
u2−1
20. (ex
) = ex
21. (eu
) = u eu
22. (au
) = u au
ln a
23. (ln x) = 1
x
24. (ln u) = u
u
25. (loga u) = u
u ln a
26. (uv
) = vuv−1
u + uv
v ln u
27. (sh u) = u ch u
28. (ch u) = u sh u
29. (tgh ) = u sech2
u
30. (argsh u) = u√
u2+1
31. (argch u) = u√
u2−1
32. (argtgh u) = u
1−u2
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