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partial derivative of 6x^2+9y^3^5
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∂
∂
x
(
(
6
x
2
+
9
y
3
)
5
)
=
6
0
x
(
6
x
2
+
9
y
3
)
4
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∂
∂
x
(
(
6
x
2
+
9
y
3
)
5
)
=
6
0
x
(
6
x
2
+
9
y
3
)
4
steps
∂
∂
x
(
(
6
x
2
+
9
y
3
)
5
)
Treat
y
as
a
constant
show steps
Apply
the
chain
rule
:
5
(
6
x
2
+
9
y
3
)
4
∂
∂
x
(
6
x
2
+
9
y
3
)
=
5
(
6
x
2
+
9
y
3
)
4
∂
∂
x
(
6
x
2
+
9
y
3
)
show steps
∂
∂
x
(
6
x
2
+
9
y
3
)
=
1
2
x
=
5
(
6
x
2
+
9
y
3
)
4
·
1
2
x
Simplify
=
6
0
x
(
6
x
2
+
9
y
3
)
4
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