if f(x,y)=x^3-y^3-2xy+1,then find and classify the critical points of f
Answers
Answered by
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Explanation:
f
x
=
0
0
=
3
x
2
−
2
y
2
y
=
3
x
2
y
=
3
2
x
2
f
y
=
0
0
=
−
3
y
2
−
2
x
0
=
−
3
(
3
2
x
2
)
2
−
2
x
0
=
−
3
(
9
4
x
4
)
−
2
x
0
=
−
27
4
x
4
−
2
x
0
=
−
27
x
4
−
8
x
0
=
−
x
(
27
x
3
+
8
)
x
=
0
x
3
=
−
8
27
x
=
−
2
3
The critical points of the function are
(
0
,
0
)
and
(
−
2
3
,
2
3
)
.
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