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partial derivative of (4489x/(x+y^2))
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∂
∂
x
(
4
4
8
9
x
x
+
y
2
)
=
4
4
8
9
y
2
(
x
+
y
2
)
2
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∂
∂
x
(
4
4
8
9
x
x
+
y
2
)
=
4
4
8
9
y
2
(
x
+
y
2
)
2
steps
∂
∂
x
(
4
4
8
9
x
x
+
y
2
)
Treat
y
as
a
constant
Take
the
constant
out
:
(
a
·
f
)
′
=
a
·
f
′
=
4
4
8
9
∂
∂
x
(
x
x
+
y
2
)
Apply
the
Quotient
Rule
:
(
f
g
)
′
=
f
′
·
g
−
g
′
·
f
g
2
=
4
4
8
9
·
∂
∂
x
(
x
)
(
x
+
y
2
)
−
∂
∂
x
(
x
+
y
2
)
x
(
x
+
y
2
)
2
show steps
∂
∂
x
(
x
)
=
1
show steps
∂
∂
x
(
x
+
y
2
)
=
1
=
4
4
8
9
·
1
·
(
x
+
y
2
)
−
1
·
x
(
x
+
y
2
)
2
show steps
Simplify
4
4
8
9
·
1
·
(
x
+
y
2
)
−
1
·
x
(
x
+
y
2
)
2
:
4
4
8
9
y
2
(
x
+
y
2
)
2
=
4
4
8
9
y
2
(
x
+
y
2
)
2
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