< Kreis < Quadratischeform 1 < Extrema
Bestimme die
globalen Extrema
der Funktion
f
(
x
,
y
)
=
x
4
+
y
4
−
8
(
x
2
+
y
2
)
{\displaystyle {}f(x,y)=x^{4}+y^{4}-8(x^{2}+y^{2})\,}
auf
M
=
{
(
x
,
y
)
∈
R
2
∣
x
2
+
y
2
≤
9
}
.
{\displaystyle {}M={\left\{(x,y)\in \mathbb {R} ^{2}\mid x^{2}+y^{2}\leq 9\right\}}\,.}
Eine Lösung erstellen
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