DERIVE for Windows version 5.02 DfW file saved on 19 Feb 2002 hCross:=APPROX(127/50) vCross:=APPROX(7707346938775511/200000000000000) ÿÿCTextObj âBÿS{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fmodern\fcharset2 DfW5 Printer;}} {\colortbl\red0\green0\blue0;} \deflang1031\pard\plain\f3\fs24\b Funktionsuntersuchungen \par \plain\f3\fs24\b\ul im Anschluss an die Aufgabe LS LK, S.225, Nr.22 \par \par } €Nâ–ÿn{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fmodern\fcharset2 DfW5 Printer;}} {\colortbl\red0\green0\blue0;} \deflang1031\pard\plain\f3\fs24\b AUFGABE 1:\plain\f3\fs24 \'dcberpr\'fcfen Sie algebraisch die Ableitung von #2 und entscheiden Sie, ob der mitgelieferte Plott den Graphen zu #2 angemessen wiedergibt. Benutzem Sie neben der Ableitung auch andere Kriterien, wie z.B. 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MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fmodern\fcharset2 DfW5 Printer;}} {\colortbl\red0\green0\blue0;} \deflang1031\pard\plain\f3\fs24\b AUFGABE 2:\plain\f3\fs24 Wiederholen Sie die \'dcberlegungen aus Aufgabe 1 bei der folgenden #5.Zus\'e4tzlich ist hier noch das Bild des Ableitungsgraphen (#7) gegeben. \par } €8ˆ5Benutzerð¿x*SQRT(x)/(x+1)^2€8A qBenutzerð¿DIF(x*SQRT(x)/(x+1)^2,x)€Ø}8­Simp(Dif(Benutzer,x))ú~j¼t“ˆ?SQRT(x)*(3-x)/(2*(x+1)^3)€¹âËõ{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fmodern\fcharset2 DfW5 Printer;}} {\colortbl\red0\green0\blue0;} \deflang1031\pard\plain\f3\fs24 Plott zu #5: \par } €4×¶´€ €Àð?U UUxyÿÿÿ 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