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Zuletzt geändert von Holger Engels am 2026/03/17 21:52
Von Version 65.1
bearbeitet von Holger Engels
am 2025/10/15 08:40
Änderungskommentar: Neues Bild Aufleiten B.svg hochladen
Auf Version 73.1
bearbeitet von Nila Nurschams
am 2026/02/27 10:31
Änderungskommentar: Neues Bild Ableitungsfunktion f'.svg hochladen

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
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1 -XWiki.holgerengels
1 +XWiki.nilanurschams
Inhalt
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7 7  [[Kompetenzen.K5]] Ich kann Ableitungsregeln zur Überprüfung anwenden
8 8  [[Kompetenzen.K5]] Ich kann die ln-Funktion als Stammfunktion von {{formula}}x\rightarrow\frac1x{{/formula}} nutzen {{niveau}}e{{/niveau}}
9 9  
10 +{{aufgabe id="Was fällt dir an den aufgeleiteten Graphen auf?" afb="I" kompetenzen="K4" quelle="Nila Nurschams" zeit="15" tags=""}}
11 +Skizziere einen möglichen Graphen der Funktionen.
12 +[[image:Ableitungsfunktion f'.svg||width="180" style="float: right"]][[image:Ableitungsfunktion g'.svg||width="180" style="float: right"]][[image:Ableitungsfunktion h'.svg||width="180" style="float: right"]]
13 +{{/aufgabe}}
14 +
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 12  [[image:Wanderung.svg||style="display: block; margin: auto; width: 400px"]]
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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" quelle="S.Kanzler; K.Fujan" cc="BY-SA" zeit="21" niveau="g"}}
27 -
28 - Skizziere zu den abgebildeten {{formula}}f'(x)-{{/formula}}Graphen jeweils die Orginalfunktion.
29 - [[image:Grafen_aufl.png||width="600" style="float: middle"]]
30 -
31 +{{aufgabe id="Graphisch aufleiten" afb="II" kompetenzen="K5" quelle="S.Kanzler; K.Fujan" cc="BY-SA" zeit="21" niveau="g"}}
32 +Skizziere zu den abgebildeten {{formula}}f'(x){{/formula}}-Graphen jeweils den der Orginalfunktion.
33 +[[image:Aufleiten A.svg||width="350"]][[image:Aufleiten B.svg||width="350"]][[image:Aufleiten C.svg||width="350"]][[image:Aufleiten D.svg||width="350"]][[image:Aufleiten E.svg||width="350"]][[image:Aufleiten F.svg||width="350"]]
31 31  {{/aufgabe}}
32 32  
33 33  {{aufgabe id="Funktionsgraph aus Eigenschaften" afb="II" kompetenzen=" " quelle="S.Kanzler, K.Fujan" cc="BY-SA" zeit="10"}}
Ableitungsfunktion f'.svg
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Aufleiten A.svg
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