Jetzt wird's ein bisschen formal-mathematisch...[br]Aber keine Angst: Bei der folgenden Definition geht es nur darum, verbindliche Begriffe für das bisher entdeckte festzulegen.

[b]Wenn für eine Funktion[/b] [math]f[/math] [b]und eine Stelle[/b] [math]x_0[/math] [b]der Grenzwert des Differenzenquotienten existiert, dann bezeichnet man ihn als Ableitung [math]f'[/math] der Funktion[/b] [b]an der Stelle[/b] [math]x_0[/math] [b]und schreibt dafür:[/b][br][math]f'\left(x_0\right)=\lim_{h\to0}\frac{f\left(x_0+h\right)-f\left(x_0\right)}{h}[/math][b].[/b]

Du siehst: [b]Eigentlich ist [i]Ableitung[/i] nur ein anderer Begriff für die Steigung des Funktionsgraphen an einer bestimmten Stelle. [/b]Diesen Zusammenhang solltest du dir ganz fest merken. Er spielt immer wieder eine große Rolle.[br][br]Vielleicht fragst du dich jetzt noch, was das "wenn der Grenzwert existiert" in der Definition bedeuten soll. In der Tat ist es so, dass es den nicht immer gibt. Dazu zwei Beispiele:[br][list=1][*][math]f\left(x\right)=\frac{1}{x}[/math] und [math]x_0=0[/math][br][img 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[/img][br]Hier ist schon aus der Anschauung klar, dass eine Tangente an der Stelle Null senkrecht wäre, d.h. ihre Steigung wäre unendlich, und das ist kein zulässiger Grenzwert. Auch rechnerisch würde es nicht gehen, weil im Differenzenquotienten der Ausdruck [math]f\left(x_0\right)[/math] vorkommt, aber [math]f\left(0\right)=\frac{1}{0}[/math] gibt es nicht. Hier existiert der Grenzwert also nicht und damit auch keine Ableitung an dieser Stelle.[br][br][/*][*][math]f\left(x\right)=|x|[/math] und [math]x_0=0[/math][br][img 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[/img][br]Auch hier ist anschaulich klar, dass es nicht funktionieren kann, im Punkt (0|0) eine Tangente zu bestimmen. Denn welche Steigung sollte die haben? An die "Ecke" kann sie sich nicht in einer bestimmten Richtung "anschmiegen".[br]Rechnerisch äußert sich das hier folgendermaßen:[br]Wenn wir den zweiten Punkt für die Sekante von rechts her immer näher gegen (0|0) wandern lassen, bekommen wir als Sekantensteigung immer die Steigung des rechten Geradenstücks (also 1) raus. D.h. der Grenzwert wäre dann 1. Wenn wir uns allerdings dafür entscheiden würden, uns von links her mit dem zweiten Punkt anzunähern, bekämen wir ständig -1 als Sekantensteigung raus und damit auch als Grenzwert -1. Auch in einem solchen Fall, wenn der Grenzwert nicht eindeutig ist, sagen die Mathematiker, dass kein Grenzwert existiert.[/*][/list][br]Aber du siehst schon, es sind nur ziemlich exotische Fälle, in denen es nicht überall einen Grenzwert und damit auch eine Ableitung gibt. [br][br][b]Funktionen, die keine "Ecken" und auch keine "Lücken" haben, haben normalerweise überall eine Ableitung.[/b][br]