0
0/12
13
Differentialrechnung
0/12/2
13.2
Ableitungsregeln
0/12/2/6
13.2.6
Logarithmische Ableitung
0/12/2/6/2
.
Beispiel 13 - 79
y
=
u
v
.
.
y
=
u
v
(Produktregel)
f
(
x
)
=
u
(
x
)
v
(
x
)
ln
f
(
x
)
=
ln
(
u
(
x
)
v
(
x
)
)
=
ln
u
(
x
)
-
ln
v
(
x
)
f
′
(
x
)
⋅
1
f
(
x
)
=
1
u
(
x
)
⋅
u
′
(
x
)
-
1
v
(
x
)
⋅
v
′
(
x
)
=
u
′
(
x
)
⋅
v
(
x
)
-
u
(
x
)
⋅
v
′
(
x
)
u
(
x
)
⋅
v
(
x
)
f
′
(
x
)
=
1
u
(
x
)
⋅
u
′
(
x
)
-
1
v
(
x
)
⋅
v
′
(
x
)
=
u
′
(
x
)
⋅
v
(
x
)
-
u
(
x
)
⋅
v
′
(
x
)
u
(
x
)
⋅
v
(
x
)
⋅
u
(
x
)
v
(
x
)
=
1
u
(
x
)
⋅
u
′
(
x
)
-
1
v
(
x
)
⋅
v
′
(
x
)
=
u
′
(
x
)
⋅
v
(
x
)
-
u
(
x
)
⋅
v
′
(
x
)
u
(
x
)
⋅
v
(
x
)
⋅
u
(
x
)
v
(
x
)
.
