{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 " " 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 } 3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 58 "Armando Haering Isolde-Kurz-Gymnasium,Reutlingen 2 6.2.1997" }}}{EXCHG {PARA 256 "" 0 "" {TEXT 256 21 "Aufgaben zur Tange nte" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 114 "Aufgabe:Zeichne das Schau bild von f sowie als Animation die Tangente in Verschiedenen Punkten d ieses Schaubildes. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "rest art: with (plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "f:=x- >(1/4)*(x^3-3*x^2-5*x+11);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG:6 #%\"xG6\"6$%)operatorG%&arrowGF(,**$9$\"\"$#\"\"\"\"\"%*$F.\"\"##!\"$F 2F.#!\"&F2#\"#6F2F1F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 " pic:=plot(f(x),x=-5..5,-5..5,color=blue):pic:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 55 "Errechnung der Steigung m durch die Punktsteigungsform ." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "psf:=(y-y1)/(x-x1)=m;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$psfG/*&,&%\"yG\"\"\"%#y1G!\"\"F),&% \"xGF)%#x1GF+F+%\"mG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "fs: =x->diff(f(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#fsG:6#%\"xG6\" 6$%)operatorG%&arrowGF(-%%diffG6$-%\"fG6#9$F2F(F(" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 24 "x1:=A:y1:=f(A):m:=fs(A):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "psf;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&, ,%\"yG\"\"\"*$%\"AG\"\"$#!\"\"\"\"%*$F)\"\"##F*F-F)#\"\"&F-#!#6F-F'F', &%\"xGF'F)F,F,,(F.F0F)#!\"$F/#!\"&F-F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "y:=solve(psf,y);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "parabel:=plot(f(x),x=-5..5,-10..10,color=blue,thickness=5):" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "tangente:=animate(y,x=-5..5,A=-7..7 ,color=red,thickness=5):" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG,.# \"#6\"\"%\"\"\"*$%\"AG\"\"$#!\"\"\"\"#*$F+F/#F,F(*&F+F/%\"xGF)F1*&F+F) F3F)#!\"$F/F3#!\"&F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "display(tangente,parabel,title=`Ani mation einer Tangente`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 }