February 2015
Intermediate to advanced
392 pages
17h 52m
German
Content preview from Mathematik für Wirtschaftswissenschaftler, 2nd Edition
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Kapitel 8
Differentialrechnung für Funktionen
einer Veränderlichen
8.1 Einführung
Mit Hilfe einer Zahlenfolge y
n
kann die funktionale Abhängigkeit y = f(x) einer Größe y von einer in
diskreten Punkten Xi,i2,. •. gegebenen Größe χ dargestellt werden, - die Glieder der Folge sind durch
y
n
= f(Xn) erklärt. Derartige diskrete funktionale Beziehungen treten zum Beispiel dann auf, wenn
die Werte von y in Form einer Zeitreihe gegeben sind wie etwa bei der Zinsrechnung: dann durchläuft
(x
n
) eine Folge von diskreten Verzinsungszeitpunkten.
Um den Einfluss einer kontinuierlichen Größe x, die sich in einem Intervall I reeller Zahlen frei
bewegen kann
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