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EXAMPLE 9
Finding the Partial Derivatives of a Function of Three Variables
If
w
=
f
(
x
,
y
,
z
)
=
5
x
2
y
z
3
, then
f
x
(
x
,
y
,
z
)
=
10
x
y
z
3
f
y
(
x
,
y
,
z
)
=
5
x
2
z
3
f
z
(
x
,
y
,
z
)
=
15
x
2
y
z
2
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