tabderivadas

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TABELA DE DERIVADAS 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
www.celiomoliterno.eng.br 
 
[ ] 0, =′ℜ∈ kk
 
 
( ) uunu nn ′=′ − .. 1
 
 
( ) uee uu ′=′ .
 
 
( ) uaaa uu ′=′ .ln.
 
 
( ) u
u
u ′=
′
.
1ln
 
 
( ) u
au
ua ′=
′
.
ln.
1log
 
 
( ) u
un
u
n n
n
′=
′
−
.
.
1
1 
 
( ) u
u
u ′=
′
.
.2
1
 
 
u
u
n
u nn
′
−=
′
�
�
�
�
�
�
+
.
1
1
 
 
( ) uuusen ′=′ .cos
 
 
( ) uusenu ′−=′ .cos
 
 
 
( ) uuutg ′=′ .sec2
 
 
( ) uuug ′−=′ .seccoscot 2
 
 
( ) uutguu ′=′ ..secsec
 
 
( ) uuguu ′−=′ .cot.seccosseccos
 
 
( ) u
u
uarcsen ′
−
=
′
.
1
1
2 
 
( ) u
u
u ′
−
−=
′
.
1
1
arccos
2 
 
( ) u
u
uarctg ′
+
=
′
.
1
1
2
 
 
( ) u
u
ugarc ′
+
−=
′
.
1
1
cot 2
 
 
( ) u
uu
uarc ′
−
=
′
.
1.
1
sec
2 
 
( ) u
uu
u ′
−
−=
′
.
1.
1
secarccos
2