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[/img]

[size=150]Hier geht es um Differenziale im Sinne von Leibniz und das infinitesimale charakteristische Dreieck.[br]Dieses kann entlang der Tangente vergrößert werden mit der x-Kathete Δx. [br]Dazu können wir das entsprechende rechtsseitige Sekantendreieck betrachten. Beide können wir im rechten Fenster noch einmal größer sehen. Wenn Sie am Schieberegler Δx ziehen, können Sie den Grenzprozess vom Differenzenquotienten zum Differenzialquotienten, von der Sekantensteigung zur Tangentensteigung visualisieren.[br][br]Sie können an P (oder x) ziehen und Sie können einen anderen Funktionsterm für f eingeben. [/size]

[b]Differenzialrechnung[/b][br]Infinitesimale (Steigungs-)Dreiecke mit 'unvergleichlich kleinen' Größen im Finiten sichtbar machen (charakteristisches Dreieck). [br]Verhältnisse (Quotienten) bleiben erhalten, Quotient von Differentialen dy/dx. [br][br][b]Integralrechnung[/b][br]Infinite Summen von infinitesimal kleinen Größen f(x)[math]\cdot[/math]dx ergeben zusammengefasst (integriert) eine finite Größe. [br][br][b]Hauptsatz[/b][br][math]\int[/math]dy/dx [math]\cdot[/math]dx = [math]\int[/math]dy = y .[br][br][b]Kalkül[br][/b]Rechnen mit infinitesimalen Größen 'als ob' man mit finiten Größen rechnen würde. [br]Geniale Symbolik mit dx und dy, "so dass das Rechnen mit den Symbolen fast von selbst funktioniert".[br]

[size=200][b][br][br]elschenbroich@t-online.de[/b][/size]