Determine the gradient of
f
(
x
,
y
)
=
−
x
3
−
2
y
z
2
\displaystyle {f{{\left({x},{y}\right)}}}=-{x}^{{3}}-{2}{y}{z}^{{2}}
f
(
x
,
y
)
=
−
x
3
−
2
y
z
2
at the point
(
−
2
,
−
2
,
4
)
\displaystyle {\left(-{2},-{2},{4}\right)}
(
−
2
,
−
2
,
4
)
.
∇
f
(
−
2
,
−
2
,
4
)
\displaystyle \nabla{f{{\left(-{2},-{2},{4}\right)}}}
∇
f
(
−
2
,
−
2
,
4
)
=
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