tabela derivadas

Prévia do material em texto

F6RMULAS DE DERIVADAS -.
2D.(u+v)~D.u+D.v
3 D. (uv) ~ uD. v + v D. u
4 D
x
(!!.) ~ v Dx u- u Dx v
V v2.
7 D. e" ~ e"D. u
8 D.d'~d'lnaD.u
10 D log lul~_I_D u
x a U In a x
11 D.senu~eosuD.1l
12 D.eosu~-senuD.u
13 D. tg u ~ see2 U Dx u
14 D.cotu~-CSC2UDxu
15D. see u ~ see u tg it D. u
16 Dx ese u ~ -csc u cot u D. u
17 Dxsen-lu=_~D u
vl-rl'"" .r
18 D.eos-lu~~D u
vI - U" •
19D.tg-lu~_I_D u
1+ u2 x
20 D,scc-t u= _~D u
- u vu· - 1 •
F6RMULAS DE INTEGRAlS
12Iundu---un+1+C n;<-1
n+l '
1 .
3 f;; du - In III I+ C
15 Ian dll =--a" + C
In a
7 Icos u du = sen u + C
8 Iscc2 Udu - tg u + C
12 Ilgudll--1nlcosu!+C
13 Icot u du = In Isen u I+ C
14 Iscc u du = In I see u + tg ul + C
15 Icsc II du ~ In lese u - cot u I + C
16 r~ du =sen-1!i + C
va- -II"" a
17I 1 1 u-,--, du ~ - tg-t - + Ca- + u· a a
18 III u-~r-r--rdll ~ - sect - + CUVU--(( a a
19 I-,-L, dll ~ 2-ln I!!.:!:.E.I + C
lr-U- 2a II-a
20 I__~ du -In III + ~ I+ Cvu .. - G'"