February 2015
Intermediate to advanced
392 pages
17h 52m
German
Content preview from Mathematik für Wirtschaftswissenschaftler, 2nd Edition
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248 Kapitel 8. Differentialrechnung für Funktionen einer Veränderlichen
Konstante negative Elastizität e =
— 1
Konstante positive Elastizität ε = 2
·Φ=>
QP = PR QP = 2PR
Die Elastizität beschreibt das Verhältnis zwischen den prozentualen Änderungen von
Funktionswert und unabhängiger Veränderlicher; zur geometrischen Interpretation wird
auf die Abbildung 8.19 mit den dort verwendeten Bezeichnungen verwiesen.
8.5.7 (Proportionales Wachstum) Es sei f eine differenzierbare Funktion, die in
einer Umgebung eines Punktes
XQ
> 0 positive Funktionswerte
45
besitzt. Der absolute
Betrag |Δχ| sei hinreichend klein gewählt.
Fallende Kurve (ε(χ
0
) < 0) : ...
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