Derivació de les funcions elementals
f
(
x
)
=
x
n
f
(
x
)
=
n
⋅
x
n
−
1
f
(
x
)
=
x
f
(
x
)
=
1
2
x
f
(
x
)
=
nx
f
(
x
)
=
1
n
n
x
n−1
f
(
x
)
=
log
a
x
f
(
x
)
=
1
x
l
n
a
f
(
x
)
=
lnx
f
(
x
)
=
1
x
f
(
x
)
=
e
x
f
(
x
)
=
e
x
f
(
x
)
=
a
x
f
(
x
)
=
a
x
⋅
lna
f
(
x
)
=
s
i
n
x
f
(
x
)
=
c
o
s
x
f
(
x
)
=
c
o
s
x
f
(
x
)
=
−
s
i
n
x
f
(
x
)
=
tanx
f
(
x
)
=
1
c
o
s
2
x
=
1
+
tan2
(
x
)
f
(
x
)
=
a
r
c
s
i
n
x
f
(
x
)
=
1
1−x2
f
(
x
)
=
a
r
c
c
o
s
x
f
(
x
)
=
−
1
1−x2
f
(
x
)
=
a
r
c
t
a
n
x
f
(
x
)
=
1
1
+
x
2
Regles principals de derivació
f
(
x
)
=
k
⋅
g
(
x
)
f
(
x
)
=
k
⋅
g
(
x
)
f
(
x
)
=
g
(
x
)
±
h
(
x
)
f
(
x
)
=
g
(
x
)
±
h
(
x
)
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
+
g
(
x
)
⋅
h
(
x
)
f
(x)=
g
(
x
)
h(x)
f
(x)=g
(
x
)
⋅
h
(
x
)
−
g
(
x
)
⋅
h
(
x
)
[
h
(
x
)
]
2
INS La Serra Departament de Matemàtiques
