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partial derivative of x^3y^2
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∂
∂
x
(
x
3
y
2
)
=
3
x
2
y
2
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∂
∂
x
(
x
3
y
2
)
=
3
x
2
y
2
steps
∂
∂
x
(
x
3
y
2
)
Treat
y
as
a
constant
Take
the
constant
out
:
(
a
·
f
)
′
=
a
·
f
′
=
y
2
∂
∂
x
(
x
3
)
Apply
the
Power
Rule
:
d
dx
(
x
a
)
=
a
·
x
a
−
1
=
y
2
·
3
x
3
−
1
Simplify
=
3
x
2
y
2
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