(Schritt 1: lokale Extremstellen[br]Dazu bestimmen wir zunächst die partiellen Ableitungen und erhalten den Gradienten:[br][math]grad\left(f\right)=\binom{f_x}{f_y}[/math][br]und suchen die Nullstellen dieses GLS.[br][br]Schritt 2: Hesse Matrix bestimmen (Zeile $3)[br][math]H_f\left(x,y\right)=\left(\begin{matrix}f_{xx}\\f_{xy}\end{matrix}\begin{matrix}f_{yx}\\f_{yy}\end{matrix}\right)[/math][br][br]Min: H positiv definit[br]Max: H negativ definit[br]Sattel: H indefinit
Berechnen Sie Länge, Breite und Höhe einer quaderförmigen Kiste ohne Deckel, sodass die Oberfläche genau 27 cm² beträgt und das Volumen maximal wird. Wie groß ist das maximale Volumen?[br][br][math]V = x \; y \; h[/math][br][math]O: \, 2 \; h \; x + 2 \; h \; y + x \; y = 27[/math][br][br][math] \left\{ h = \frac{-x \; y + 27}{2 \; x + 2 \; y} \right\} [/math][br] [br][math]V = x \; y \; \frac{-x \; y + 27}{2 \; x + 2 \; y}[/math][br][br][img]data:image/png;base64,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[/img][br]max Volumen 27/2 bei Grundfläche 3x3, h=3/2