February 2015
Intermediate to advanced
392 pages
17h 52m
German
Content preview from Mathematik für Wirtschaftswissenschaftler, 2nd Edition
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10.5. Extrema bei mehreren Veränderlichen 313
10.5 Extrema bei mehreren Veränderlichen
Die Begriffe des relativen (lokalen) und absoluten (globalen) Extremums für eine Funk-
tion einer Veränderlichen und die Bedeutung des stationären Punktes in 8.4.6 und 8.4.7
können unmittelbar auf Funktionen mehrerer Veränderlicher übertragen werden.
10.5.1 (Innere relative Extrema, notwendige Bedingung)
Die Funktion f(x i,..., x
n
) sei in einer Teilmenge DCS" erklärt.
• Ein innerer Punkt
XQ
von D heißt relative (oder lokale) Extremalstelle
(Maximal- bzw. Minimalstelle) und der Funktionswert /(IQ) heißt relatives (oder
lokales) Extremum (Maximum bzw. Minimum), ...
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