10/29/2015 Potenzgesetze I = ∗ ∗ ∗ ⋯ ∗ = 1 = 1 = 1 ∗ = ∗ © Uwe Cantner 2015/16 VWL - Mikroökonomik 11 Potenzgesetze II = ∗ = © Uwe Cantner 2015/16 = = = ∗ VWL - Mikroökonomik 12 1 10/29/2015 Ableitungen III Potenzregel: = → = = 2 → = 6 Summenr.: = + → = + = 2 + 4 → = 6 + 8 Produktr.: = ∗ → = ∗ + ∗ = 2 − ∗ 2 → = 6 − 1 ∗ 2 + 2 − ∗ 4 VWL - Mikroökonomik © Uwe Cantner 2015/16 15 Ableitungen IV Quotientenr.: = = → = # $ # ! ∗ ∗ ! ² # % &# % ∗# % # $ # ∗'# → = (# % )² Kettenr.: = → = ∗ ′ = 2 − ² → = 2 2 − ∗ 6 − 1 Spezielle: = +# → = +# = ln() → = # © Uwe Cantner 2015/16 VWL - Mikroökonomik 16 2
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