FORMULARIO DERIVADAS
1
Univ. JOSE JAVIER ALVAREZ VILLCA
1. Derivadas por tabla. –
2. Propiedades de Derivadas
( )
( )
( )
( )
( )
( )
( )
( )
n n 1
xx
xx
a
dk0
dx
dx1
dx
dx n x
dx
dee
dx
da a ln a
dx
d1
ln x
dx x
d1
log x
dx x lna
−
=
=
=
=
=
=
=
( ) ( )
( )
( )
( )
( )
( )
( ) ( )
( )
( )
( )
( ) ( ) ( )
( )
x x x x
x x x x x x
d d d
1. f g f g
dx dx dx
d d d
2. f g f .g f g
dx dx dx
=
= +
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( )
2
2
dsen x cos x
dx
dcosx sen x
dx
dtg x sec x
dx
dctg x csc x
dx
dsecx sec x tg x
dx
dcscx csc x ctg x
dx
x
dx
dx x
=
=−
=
=−
=
= −
=
( )
( )
( )
( )
( )
( )
2
2
2
2
2
2
d1
acrsen x
dx 1x
d1
arccosx
dx 1x
d1
arctg x
dx 1 x
d1
arcc tg x
dx 1 x
d1
arcsecx
dx x x 1
d1
arccscx
dx x x 1
=−
−
=−
=+
−
=+
=−
−
=−
Si k ctte=
( )
( )
( )
( )
( ) ( ) ( )
( )
( )
( )
( )
( )
( )
( )
x x x x
x
2
xx
xx
dd
f .g f g
f
ddx dx
3. dx g g
dd
4. k f k f
dx dx
−
=
=
