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derivative of x/(x^2-6x+8)
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d
dx
(
x
x
2
−
6
x
+
8
)
=
−
x
2
+
8
(
x
2
−
6
x
+
8
)
2
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d
dx
(
x
x
2
−
6
x
+
8
)
=
−
x
2
+
8
(
x
2
−
6
x
+
8
)
2
steps
d
dx
(
x
x
2
−
6
x
+
8
)
Apply
the
Quotient
Rule
:
(
f
g
)
′
=
f
′
·
g
−
g
′
·
f
g
2
=
dx
dx
(
x
2
−
6
x
+
8
)
−
d
dx
(
x
2
−
6
x
+
8
)
x
(
x
2
−
6
x
+
8
)
2
show steps
dx
dx
=
1
show steps
d
dx
(
x
2
−
6
x
+
8
)
=
2
x
−
6
=
1
·
(
x
2
−
6
x
+
8
)
−
(
2
x
−
6
)
x
(
x
2
−
6
x
+
8
)
2
show steps
Simplify
1
·
(
x
2
−
6
x
+
8
)
−
(
2
x
−
6
)
x
(
x
2
−
6
x
+
8
)
2
:
−
x
2
+
8
(
x
2
−
6
x
+
8
)
2
=
−
x
2
+
8
(
x
2
−
6
x
+
8
)
2
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