February 2015
Intermediate to advanced
392 pages
17h 52m
German
Content preview from Mathematik für Wirtschaftswissenschaftler, 2nd Edition
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300 Kapitel 10. Differentialrechnung für Funktionen mehrerer Veränderlicher
Die partiellen Ableitungen einer Funktion von mehreren Veränderlichen stellen als Ab-
leitungen in Richtung der Koordinatenachsen Spezialfälle der im Folgenden mit Hilfe
der Kettenregel eingeführten Ableitung in einer vorgegebenen Richtung dar.
10.3.7 (Richtungsableitung) Die Funktion f(x\,.. -,x„) habe in einer offenen
Menge DCR
n
stetige partielle Ableitungen. Die Einschränkung der Funktion auf einen
von einem Punkt Xq des Definitionsbereichs ausgehenden Strahl
XQ
+ sc in Richtung
eines Vektors ç = (ci,...
,
c„) ist eine Funktion F(s) einer Veränderlichen. Für deren ...
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