Determine the total differential,
d
z
\displaystyle {\left.{d}{z}\right.}
d
z
.
f
(
x
,
y
)
=
x
y
e
4
x
y
\displaystyle {f{{\left({x},{y}\right)}}}={x}{y}{e}^{{{4}{x}{y}}}
f
(
x
,
y
)
=
x
y
e
4
x
y
.
Factor each part completely.
d
z
\displaystyle {\left.{d}{z}\right.}
d
z
=
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