0
0/12
13
Differentialrechnung
0/12/2
13.2
Ableitungsregeln
0/12/2/4
13.2.4
Quotientenregel
y
=
u
(
x
)
v
(
x
)
=
u
v
y
′
=
u
′
(
x
)
⋅
v
(
x
)
-
u
(
x
)
⋅
v
′
(
x
)
v
2
(
x
)
=
u
′
⋅
v
-
u
⋅
v
′
v
2
.
Beispiel 13 - 1:
y
=
x
3
-
4
x
+
5
2
x
2
-
4
x
+
1
=
u
v
⇒
y
′
=
(
3
x
2
-
4
)
︷
u
′
(
2
x
2
-
4
x
+
1
)
︷
v
-
(
x
3
-
4
x
+
5
)
︷
u
(
4
x
-
4
)
︷
v
′
(
2
x
2
-
4
x
+
1
)
2
︸
v
2
.
