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Zuletzt geändert von Holger Engels am 2025/10/15 06:54
Von Version 45.1
bearbeitet von Holger Engels
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Auf Version 49.1
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9 9  
10 10  {{aufgabe id="Wanderung" afb="I" kompetenzen="K1" quelle="S.Kanzler; K.Fujan" cc="BY-SA" zeit="4" niveau="g"}}
11 11  Soraya und Nico brechen beide zu einer Wanderung auf. Der erste Abschnitt ist jeweils im Grafen zu sehen. Diskutiere, ob es hinsichtlich der physischen Anstrengung einen Unterschied macht, dass Soraya im Gebirge und Nico von daheim aus startet.
12 -[[image:Wanderung.svg||style="margin: auto; width: 400px"]]
12 +[[image:Wanderung.svg||style="display: block; margin: auto; width: 400px"]]
13 13  {{/aufgabe}}
14 14  
15 15  {{aufgabe id="Aufleiten ln" afb="III" kompetenzen="K5" tags="problemlösen" quelle="Dr. Andreas Dinh" cc="BY-SA" zeit="15" niveau="e"}}
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23 23  1. Der Graph einer Stammfunktion von {{formula}}f{{/formula}} verläuft durch {{formula}}P{{/formula}}. Skizziere diesen Graphen in der Abbildung.
24 24  {{/aufgabe}}
25 25  
26 -{{aufgabe id="Funktionen aus Ableitungsfunktionen skizzieren" afb="II" kompetenzen="K5" tags="problemlösen" quelle="S.Kanzler; K.Fujan" cc="BY-SA" zeit="21" niveau="g"}}
26 +{{aufgabe id="Funktionen aus Ableitungsfunktionen skizzieren" afb="II" kompetenzen="K5" quelle="S.Kanzler; K.Fujan" cc="BY-SA" zeit="21" niveau="g"}}
27 27  
28 28   Skizziere zu den abgebildeten {{formula}}f'(x)-{{/formula}}Graphen jeweils die Orginalfunktion.
29 29   [[image:Grafen_aufl.png||width="600" style="float: middle"]]
... ... @@ -30,14 +30,14 @@
30 30  
31 31  {{/aufgabe}}
32 32  
33 -{{aufgabe id="Funktionsgraph aus Eigenschaften" afb="II" kompetenzen=" " quelle="S.Kanzler, K.Fujan" cc="BY-SA" zeit="5"}}
34 -Über die Ableitungsfunktion {{formula}}f'(x){{/formula}} einer Funktion {{formula}}f(x){{/formula}} ist folgendes bekannt:
33 +{{aufgabe id="Funktionsgraph aus Eigenschaften" afb="II" kompetenzen=" " quelle="S.Kanzler, K.Fujan" cc="BY-SA" zeit="10"}}
34 +Über die Ableitungsfunktion {{formula}}f'(x){{/formula}} einer Polynomfunktion {{formula}}f(x){{/formula}} ist folgendes bekannt:
35 35  * {{formula}}f'(x){{/formula}} hat eine Extremstelle bei {{formula}}x=1{{/formula}}
36 36  * {{formula}}f'(-3)=f(3)=0{{/formula}}
37 37  * {{formula}}f'(x){{/formula}} ist an der Stelle {{formula}}x=-3{{/formula}} linksgekrümmt
38 38  
39 39  (% class="abc" %)
40 -1. Bestimme den Grad der Ableitungsfunktion {{formula}}f'(x){{/formula}}.
40 +1. Bestimme den minimalen Grad der Ableitungsfunktion {{formula}}f'(x){{/formula}}.
41 41  1. Skizziere ein passendes Schaubild der Ableitungsfunktion {{formula}}f'(x){{/formula}}.
42 42  1. Ermittle dazu den Graph einer möglichen Funktion {{formula}}f(x){{/formula}}.
43 43  {{/aufgabe}}
Weiterzeichnen e.ggb
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