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Zuletzt geändert von Holger Engels am 2025/10/15 06:54
Von Version 46.1
bearbeitet von Holger Engels
am 2025/10/13 12:13
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Auf Version 48.1
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Inhalt
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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.svg
Author
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1 +XWiki.holgerengels
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1 +14.8 KB
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