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partial derivative of x+y^2
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∂
∂
x
(
(
x
+
y
)
2
)
=
2
(
x
+
y
)
Show Steps
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∂
∂
x
(
(
x
+
y
)
2
)
=
2
(
x
+
y
)
steps
∂
∂
x
(
(
x
+
y
)
2
)
Treat
y
as
a
constant
show steps
Apply
the
chain
rule
:
2
(
x
+
y
)
∂
∂
x
(
x
+
y
)
=
2
(
x
+
y
)
∂
∂
x
(
x
+
y
)
show steps
∂
∂
x
(
x
+
y
)
=
1
=
2
(
x
+
y
)
·
1
Simplify
=
2
(
x
+
y
)
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