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Änderungen von Dokument BPE 12.7 Monotonie

Zuletzt geändert von Nila Nurschams am 2026/02/27 15:00
Von Version 60.1
bearbeitet von Nila Nurschams
am 2026/02/27 11:33
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Auf Version 68.1
bearbeitet von Nila Nurschams
am 2026/02/27 14:59
Änderungskommentar: Neues Bild Fahrstrecke.svg hochladen

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3 3  [[Kompetenzen.K5]] [[Kompetenzen.K4]] Ich kann Funktionen auf strenge Monotonie untersuchen
4 4  [[Kompetenzen.K4]] Ich kann die Wertemenge einer Funktion anhand von Graphen, Funktionstermen und Wertetabellen bestimmen
5 5  
6 -{{aufgabe id="" afb="" kompetenzen="" quelle="" zeit="" tags=""}}
6 +{{aufgabe id="Warum sind einige Aussagen wahr oder falsch?" afb="I" kompetenzen="K5" quelle="Nila Nurschams" zeit="4" tags=""}}
7 7  Gegeben ist eine Funktion {{formula}}f{{/formula}}.
8 8  Beurteile die folgenden Aussagen und begründe deine Entscheidung:
9 - (%class=abc%)
10 -1. Wenn {{formula}}f^′(x)≥0{{/formula}}gilt, ist f streng monoton steigend.
9 +(%class=abc%)
10 +1. Wenn {{formula}}f^′(x)≥0{{/formula}} gilt, ist {{formula}}f{{/formula}} streng monoton steigend.
11 11  1. Eine Funktion mit nur einer Nullstelle der Ableitung ist streng monoton.
12 -1. Ist {{formula}}f^′ (x)>0{{/formula}}für alle {{formula}}x{{/formula}}, so besitzt {{formula}}f{{/formula}} keine Extremstellen.
12 +1. Ist {{formula}}f^′(x)>0{{/formula}} für alle {{formula}}x{{/formula}}, so besitzt {{formula}}f{{/formula}} keine Extremstellen.
13 13  1. Eine streng monoton steigende Funktion kann einen Wendepunkt besitzen.
14 14  {{/aufgabe}}
15 15  
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66 66  **Quelle:** Wikipedia [[Fall mit Stokes-Reibung>>https://de.wikipedia.org/wiki/Fall_mit_Luftwiderstand#Fall_mit_Stokes-Reibung]]: Bei kleinen Geschwindigkeit ist die Luftreibung proportional zur Fallgeschwindigkeit.
67 67  {{/aufgabe}}
68 68  
69 -{{seitenreflexion bildungsplan="5" kompetenzen="4" anforderungsbereiche="5" kriterien="4" menge="5"/}}
69 +{{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
Fahrstrecke.svg
Author
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1 +XWiki.nilanurschams
Größe
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1 +36.3 KB
Inhalt
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