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Tabla de derivadas
Publicado el: 24 de abril de 2022
h
→
0
lim
h
f
(
x
+
h
)
−
f
(
x
)
=
f
′
(
x
)
Función
Derivada
f
(
x
)
+
g
(
x
)
f
′
(
x
)
+
g
′
(
x
)
f
(
x
)
−
g
(
x
)
f
′
(
x
)
−
g
′
(
x
)
f
(
x
)
⋅
g
(
x
)
f
′
(
x
)
⋅
g
(
x
)
+
f
(
x
)
⋅
g
′
(
x
)
g
(
x
)
f
(
x
)
g
(
x
)
2
f
′
(
x
)
⋅
g
(
x
)
−
f
(
x
)
⋅
g
′
(
x
)
f
(
g
(
x
))
f
′
(
g
(
x
))
⋅
g
′
(
x
)
k
:
k
∈
R
0
k
⋅
f
(
x
)
:
k
∈
R
k
⋅
f
′
(
x
)
x
r
:
r
∈
Q
n
x
n
−
1
f
−
1
(
b
)
f
′
(
a
)
1
f
−
1
(
b
)
f
′
(
a
)
1
sin
x
cos
x
cos
x
−
sin
x
tan
x
c
o
s
2
(
x
)
1
arcsin
x
1
−
x
2
1
arccos
x
1
−
x
2
−
1
arctan
x
1
+
x
2
1
a
x
:
a
∈
(
0
,
1
)
∪
(
1
,
+
∞
)
a
x
⋅
ln
a
ln
x
x
1
cosh
x
sinh
x
sinh
x
cosh
x