Die Flächeninhaltsfunktion

Darum geht es:
[size=150][size=200]Worum geht es?[/size][br][br]Sie sollen in der nächsten Zeit die Integralrechnung erlernen.[br][br]Es gibt verschiedene Zugänge zur Integralrechnung. Das bedeutet, dass man die Integralrechnung auf unterschiedliche Weise erlernen kann.[br]Die Flächeninhaltsfunktion ist ein innermathematischer, geometrischer Zugang.[br]In einem weiteren Abschnitt zeige ich Ihnen den Zugang über Sachkontexte.[br][br]Dieser Abschnitt richtet sich an Grundkurse.[br][br]Das erste Applet zeigt anschaulich, was eine Flächeninhaltsfunktion ist. In der oberen Grafik ist eine Funktion abgebildet Die Funktionsgleichung spielt erst einmal keine Rolle.[br]Auf der x-Achse finden Sie ein kleines Dreieck, mit der eine Stelle auf der x-Achse markiert wird. Sie können dieses Dreieck mit der Maus bewegen.[br][br]Zwischen x=0 und der markierten Stelle auf der x-Achse wird die Fläche zwischen x-Achse und Funktionsgraph rosa eingefärbt. Der Flächeninhalt der Fläche wird angezeigt.[br][br]Wenn Sie die Markierung auf der x-Achse bewegen, bewegt sich in der zweiten Grafik ebenfalls ein Punkt. Die x-Koordinate des Punktes entspricht der markierten x-Koordinate aus der oberen Gleichung und die y-Koordinate entspricht dem Flächeninhalt der dargestellten Fläche.[br][br]Wenn Sie in der zweiten Gleichung den Haken setzen, dann können Sie die gesamte Spur des Punktes sehen. Dieser Graph ist der Graph der Flächeninhaltsfunktion.[br][br]Im Folgenden wird es darum gehen, eine Methode zu finden, wie man die Flächeninhaltsfunktion aus der ursprünglichen Funktion bestimmen kann.[br][br][/size]
Offensichtlich ist Geogebra in der Lage, den Flächeninhalt zu berechnen.[br]Aber wie geht das?[br][br][img]https://upload.wikimedia.org/wikipedia/commons/b/ba/BernhardRiemannAWeger.jpg[/img][br]Quelle: [url=https://de.wikipedia.org/wiki/Bernhard_Riemann#/media/Datei:BernhardRiemannAWeger.jpg]Bernhard Riemann – Wikipedia[/url][br]Der Mathematiker Bernhard Riemann hatte die richtige Idee. Im Leistungskurs Mathematik erlernen Sie die genau Vorgehensweise Riemanns. Hier soll nur anschaulich seine Idee dargestellt werden.[br][br]Riemann hat sich überlegt, dass man den Flächeninhalt zunächst näherungsweise bestimmt, indem man unterhalb des Graphen eine Reihe von Rechtecken zeichnet und deren Flächeninhalt berechnet.[br][br]Setzen Sie im Applet unten den Haken bei "Untersumme". Die Rechtecke werden unter dem Graphen und außerdem, vergrößert, im rechten Bild mit Angabe der Flächeninhalte angezeigt.[br][br]Die Summe der Flächeninhalte der Untersumme wird ebenfalls angezeigt. Man sieht leicht, dass der so ermittelte Flächeninhalt [b]zu klein ist.[br][br][/b]Sie können die Genauigkeit erhöhen, indem Sie mit dem roten Schieberegler die Anzahl der Rechtecke vergrößern. Trotzdem bleibt die Summe immer zu klein.[br][br]Jetzt löschen Sie den Haken bei Untersumme und setzen den Haken bei Obersumme. Nun sehen Sie Rechtecke, die alle etwas zu groß sind.[br][br]Die Summe der Flächeninhalte der Obersumme sind [b]zu groß[/b].[br][br]Der wahre Flächeninhalt muss[b] zwischen Untersumme und Obersumme[/b] liegen.
[size=200]Muss das so mühsam sein?[br][/size]Wenn das die ganze Idee von Riemann gewesen wäre, dann wäre er nicht berühmt geworden.[br]Sehr viele Rechtecke unter und über einem Graphen zu zeichnen und zu berechnen ist nicht sehr genau und sehr mühsam. Und im 19. Jahrhundert gab es noch kein Geogebra.[br][br]Die nächste Idee kann man im nächsten Applet untersuchen.[br][br]Die linke Grafik hat sich nicht geändert. Sie können wieder Unter- und Obersummen anzeigen lassen und auch die Anzahl der Rechtecke variieren.[br][br]In der Rechten Grafik sehen Sie jetzt zwei Punkte, deren x-Koordinate mit der markierten x-Koordinate aus der linken Grafik übereinstimmt. Die y-Koordinaten der beiden Punkte sind die Summen von Unter- und Obersumme. Zwischen den beiden Punkten liegt deshalb der Graph der gesuchten Flächeninhaltsfunktion.[br][br]Wenn Sie in der linken Grafik die markierte Stelle auf der x-Achse variieren, bewegen sich auch die Punkte in der rechten Grafik. Damit man den Verlauf des Graphen erahnen kann, ziehen die Punkte eine Spur hinter sich her, die man mit "Clear" löschen kann.[br][br]Wenn Sie den Haken bei "Tatsächlicher Flächeninhalt" setzen, können Sie auch den Verlauf der Flächeninhaltsfunktion beobachten.[br][br]Erhöht man die Anzahl der Rechtecke, dann nähern sich die beiden Graphen an.
[size=200]Schreibweisen[br][size=100]Jetzt schauen Sie sich noch einmal die Untersumme an. Mit der Obersumme könnte man die folgenden Überlegungen genauso durchführen.[br][/size][/size]Wenn man die Untersumme berechnen will, muss man die Flächeninhalte aller Rechtecke ausrechnen. Die Breite jedes Rechtecks ist[size=100][size=200] [math]dx=\frac{x}{\text{Anzahl der Rechtecke}}[/math]. [/size][/size]Man bezeichnet die Rechteckbreite mit dx. Dabei stellt man sich dx möglichst klein vor.[br]Für den Flächeninhalt der Untersumme kann man also schreiben[size=100][br][math]\text{Flächeninhalt}=\text{Summe aller }f(x)\cdot dt[/math][br][/size]Statt "Summe aller" verwendet man das Zeichen[size=100][br][math]\int_a^b[/math][/size], wenn[size=100] [math]dx\rightarrow0[/math] [/size]gilt, wenn also dx gegen 0 geht, die Anzahl der Rechtecke also gegen[size=100][size=200] [math]\infty[/math][/size] (Unendlich) geht.[br]Im folgenden Applet wird das veranschaulicht.[br][/size]
[br][br]Die Ableitung der Flächeninhaltsfunktion[br][br][br]sie haben nun verstanden, dass die Flächeninhaltsfunktion[br]jedem x-Wert den Flächeninhalt zwischen dem Graphen der Funktion und der[br]x-Achse zwischen den 0 und x zuordnet.[br][br][br]Jetzt soll die Flächeninhaltsfunktion an einer beliebigen[br]Stelle x_0 abgeleitet werden.[br][br][br]Mit dem orangenen Schieberegler können Sie die Stelle[br]einstellen, an der die Ableitung bestimmt werden soll.[br][br][br]Zur Erinnerung: die Ableitung einer Funktion ist selbst eine[br]Funktion, die jedem x-Wert die Steigung der Funktion an der Stelle x zuordnet.[br]Die Steigung an der Stelle x entspricht der Steigung der Tangente an der Stelle[br]x.[br][br][br]Das folgende Bild zeigt ein Beispiel. Die Steigung an der[br]hier dargestellten Funktion an der Stelle x = 2,5 beträgt -0,2892[br][br][br][img]data:image/png;base64,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[/img][br][br][br]Man könnte auch schreiben: f(2,5)=-0,2892[br][br][br][br]Für ganzrationale Funktionen haben sie mittlerweile Regeln[br]gelernt, wie man zu einer gegebenen Funktion f die zugehörige[br]Ableitungsfunktion f‘ finden kann.[br][br][br]Die Regel für das Ableiten ganzrationaler Funktionen ist [math]x^n\rightarrow n\cdot x^{n-1}[/math][br][br][br]für andere Funktionen kann man die Ableitung an einer Stelle[br][math]x_0[/math] bestimmen, indem man zunächst eine Gerade durch 2 Punkte des Graphen legt[br]und deren Steigung bestimmt. Der eine der beiden Punkte hat die x-Koordinate[br]x_0, der andere Punkt hat die x-Koordinate [math]x_0+\Delta x[/math].[br][br][br]Die folgenden Bilder zeigen eine Abfolge, mit der die Steigung der Funktion an der Stelle [math]x_0=0,5[/math] bestimmt wird.[br][br]Zunächst beträgt [math]\Delta x=1[/math]. Die Steigung der Sekante ist 2,25[br][br][img]data:image/png;base64,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[/img][br]Jetzt beträgt [math]\Delta x=0,5[/math] und die Steigung der Tangente 3,75[br][br][img]data:image/png;base64,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[/img][br]Jetzt ist \Delta x=0.1 und die Steigung beträgt 5,31[br][img]data:image/png;base64,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[/img][br]Im letzten Bild beträgt der Abstand nur noch [math]\Delta x=\frac{1}{10000}[/math] und die Steigung beträgt 5,7496. Die Sekante ist mit dem Auge nicht mehr von einer Tangente zu unterscheiden.[br][img]data:image/png;base64,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[/img]
Mit der gleichen Vorgehensweise wird in dem folgenden Applet die Steigung der Flächeninhaltsfunktion bestimmt. Nachdem Sie einen Wert für [math]x_0[/math] gewählt haben, reduzieren Sie den Abstand [math]\Delta x[/math] mithilfe des pinken vertikalen Schieberegler.[br]Auf der rechten Seite sehen Sie den entsprechenden Ausschnitt aus der Flächeninhaltsfunktion.[br]Beobachten Sie, welchen Wert die Steigung der Flächeninhaltsfunktion an der Stelle [math]x[/math] annimmt und vergleichen Sie mit dem Funktionswert [math]f(x)[/math].
Die Ableitung der Flächeninhaltsfunktion
[size=200]Fazit[br][/size]Für die Flächeninhaltsfunktion [math]F[/math] gilt:[br][math]F'(x)=f(x)[/math][br][size=200]Man kann daher die Flächeninhaltsfunktion F für die Funktion f bestimmen, indem man eine Funktion F bestimmt, für die [br][/size][size=200]F'(x)=f(x)[br][/size][size=200]gilt.[/size]

Information: Die Flächeninhaltsfunktion