< Gradient < xyz-z^2 durch ln xy+z^2
Berechne den
Gradienten
der Funktion
f
:
G
⟶
R
,
(
x
,
y
,
z
)
⟼
x
y
z
−
z
2
ln
(
x
y
)
+
z
2
,
{\displaystyle f\colon G\longrightarrow \mathbb {R} ,\,(x,y,z)\longmapsto {\frac {xyz-z^{2}}{\ln(xy)+z^{2}}},}
in jedem Punkt
P
∈
G
{\displaystyle {}P\in G}
mit
G
=
R
>
1
×
R
>
1
×
R
{\displaystyle {}G=\mathbb {R} _{>1}\times \mathbb {R} _{>1}\times \mathbb {R} }
Eine Lösung erstellen
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