Nebenbedingung/Ellipsoid/2x^2+y^2+3z^2 ist 4/3x+4y-2z/Aufgabe

Bestimme die lokalen Extrema der Funktion

{}h(x,y,z)=3x+4y+2z\,

auf dem Ellipsoid

{}M={\left\{(x,y,z)\in \mathbb {R} ^{3}\mid 2x^{2}+y^{2}+3z^{2}=4\right\}}\,.

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