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6. Vl Ana1LinA Elementare Funktionen 1 $3.22   Add to cart

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6. Vl Ana1LinA Elementare Funktionen 1

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Dies ist eine vollständige Vorlesungsmitschrift zur sechsten Vorlesung des Moduls Analysis I und lineare Algebra für Ingenieurswissenschaften. In dieser Vorlesung wurden einige elementare Funktionen thematisiert. Dabei wurde auf Logarithmus-, Exponential-, Sinus-, Cosinus- und Tangensfunktion ein...

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  • January 26, 2023
  • 5
  • 2022/2023
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Exponentialfunktion und Logarithmasfunktion


exp IR IR explx et Graph

Eigenschaften der Exponentialfunktion
1 e 1 x
s
2 Funktionalgleichung ext et et für alle ER
3 et FO und et et für alle ER
4 et O für alle ER
5 explx ist streng monoton wachsend


6 exp IR 70,0T ist bijektiv
asymptotisch

Da exp IR 30,00T bijektiv ist hat exp eine Umkehr
funktion

In IR
natürlicher Logarithmus
n
et für alle ER
eh x x für alle XEJO.DE
s
Eigenschaften der funktion
Logarithmus

1 Cute 0 denn Lale la le o

2 Funktionalgleichung Culxy Cn x Caly Glen ey
Inky Culeluxten
Cnc
luxtlay
3 uff O Lu 1 LG E Lux LE Luft Lax
4 Ulf Luc Cn
y
5 Lu x neu x
für alle O MEZ
6 Cu ist streng monoton wachsend


7 In 0,0T IR ist bijektiv

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