Berechnung der Ortskurven f\374r Wendepunkte und Extrema Achim Gro\337mann Ortskurve der Wendepunkte Berechnung der Ortskurve f\374r Wendepunkte \374ber die zweite Ableitung, die man nach t aufl\366\337t, das Ergebniss (tt) setzt man dann in y (x) ein, die daraus entstehende Kurve (ywep), ist die gesuchte Ortskurve. tt:=solve (yss,t); NiM+SSN0dEc2IiwkSSJ4R0YlIiIk Ortskurve der Wendepunkte: ywep:= subs (t=tt,y (x)); NiM+SSV5d2VwRzYiLCQqJEkieEdGJSIiJCEiIw== plot ([seq (y(x),t=-3..3),ywep],x=-5..5,-5..5); -%%PLOTG6,-%'CURVESG6$7S7$$!"&""!$!#]F,7$$!3YLLLe%G?y%!#<$!3!*Q]bcj5vS!#;7$$!3OmmT&esBf%F2$!39F,vBcHeLF57$$!3ALL$3s%3zVF2$!3gzSayceWEF57$$!3_LL$e/$QkTF2$!3Omj_4JG>?F57$$!3ommT5=q]RF2$!3C')3NW'fQ["F57$$!3ILL3_>f_PF2$!3qjK$*\fzf5F57$$!3K++vo1YZNF2$!3Yl4x,j]*)oF27$$!3;LL3-OJNLF2$!3[VG0XZ8IPF27$$!3p***\P*o%Q7$F2$!3?(pID$*\&37F27$$!3Kmmm"RFj!HF2$"3'GY5Ql!G7z!#=7$$!33LL$e4OZr#F2$"3]j0zecL-@F27$$!3u*****\n\!*\#F2$"3:J!zblf&GJF27$$!3%)*****\ixCG#F2$"3mF$o]Ez!QPF27$$!3#******\KqP2#F2$"3Uk0&[NsK)RF27$$!39LL3-TC%)=F2$"3IT45zFNhRF27$$!3[mmm"4z)e;F2$"33vgn"f.1p$F27$$!3Mmmmm`'zY"F2$"3!ze4Hi:9I$F27$$!3#****\(=t)eC"F2$"3Bsl$zY&zAFF27$$!3!ommmh5$\5F2$"3OA_T\>"y9#F27$$!3S$***\(=[jL)F]o$"3cIU^2!4b]"F27$$!3)f***\iXg#G'F]o$"3CN$e]j@:O*F]o7$$!3ndmmT&Q(RTF]o$"3DIaD[byJWF]o7$$!3%\mmTg=><#F]o$"3l9jx@Zr78F]o7$$!3vDMLLe*e$\!#?$"3E8=$o%\*oH(!#A7$$"3!=nm"zRQb@F]o$"3'RbUQFOQ\"F]o7$$"3_,+](=>Y2%F]o$"3#>wLX)fCdcF]o7$$"3summ"zXu9'F]o$"3')=6co80m8F27$$"3#4+++]y))G)F]o$"3navn,olIEF27$$"3H++]i_QQ5F2$"3w*>)p!\kVN%F27$$"3b++D"y%3T7F2$"3uW*)[gl]KlF27$$"3+++]P![hY"F2$"3<9_-juQ+'*F27$$"3iKLL$Qx$o;F2$"3'[/F>&\V*H"F57$$"3Y+++v.I%)=F2$"3!GI>Fy8Ut"F57$$"3?mm"zpe*z?F2$"3?3ix\gq(>#F57$$"3;,++D\'QH#F2$"3g3p8sW`&y#F57$$"3%HL$e9S8&\#F2$"3UQ>S\@5@MF57$$"3s++D1#=bq#F2$"3ojK;G;MwTF57$$"3"HLL$3s?6HF2$"3kHgmBM#)4]F57$$"3a***\7`Wl7$F2$"3eg*4]Dp)))fF57$$"3enmmm*RRL$F2$"3tXBC$*GFSqF57$$"3%zmmTvJga$F2$"3/7FJzO?J#)F57$$"3]MLe9tOcPF2$"3QLhOlQVL&*F57$$"31,++]Qk\RF2$"37eWPcE7%3"!#:7$$"3![LL3dg6<%F2$"3Sg5DX,oZ7Fey7$$"3%ymmmw(GpVF2$"3?.jn?o%oS"Fey7$$"3C++D"oK0e%F2$"3%=#yNgF\!f"Fey7$$"35,+v=5s#y%F2$"3i6p'*>BD!y"Fey7$$""&F,$"$+#F,-%&COLORG6&%$RGBG$"#5!""$F,Fe[lFf[l-F&6$7S7$F*$!#vF,7$F0$!3EEg=uf)=O'F57$F7$!3m#yy+A%GnaF57$F<$!3muwwxRAiXF57$FA$!3)zxoZs"\`PF57$FF$!30RQ$Q7kY/$F57$FK$!3!RK<ee!*zY#F57$FP$!3g;*4)\$)RZ>F57$FU$!3G%\Hp:Xa["F57$FZ$!3)>A7[$pp'4"F57$Fin$!3/@4<U3^bwF27$F_o$!35W)H7TcuE&F27$Fdo$!3it&QDi*o;JF27$Fio$!3#=JdN%[ir9F27$F^p$!3!3T++15D<$F]o7$Fcp$"3"*\6lG%p(4TF]o7$Fhp$"3'o]s!4vB(Q*F]o7$F]q$"3#yyw^I$\Y6F27$Fbq$"3;3X"pDg0<"F27$Fgq$"3%>%e;z"fn/"F27$F\r$"3Fk)=['*>c5)F]o7$Far$"3KfP=E'4WT&F]o7$Ffr$"3G"R>*G?/=FF]o7$F[s$"3Sryj%z;*4%)!#>7$F`s$"3E')*z!z")eg[Fes7$Fgs$"3V=x2k#o#H5F]o7$F\t$"3EW%>A$Q*p*RF]o7$Fat$"3_eJY4ZS"))*F]o7$Fft$"3%=$**zL<gV>F27$F[u$"3i05KP07wKF27$F`u$"3)HeQi7:A*\F27$Feu$"3?8,;&R(z]uF27$Fju$"3,F_gUm3@5F57$F_v$"3_)y'R#*\:z8F57$Fdv$"31*Gs7B$3l<F57$Fiv$"3O#QAF%GNfAF57$F^w$"3%R')GVxK&)z#F57$Fcw$"3pT#G<veVW$F57$Fhw$"3#R$3o#o5B;%F57$F]x$"3eK5U%=T8,&F57$Fbx$"3R6'3JKd(GfF57$Fgx$"3Wzo:f&pP(pF57$F\y$"3cK"f^K/C7)F57$Fay$"3Y)Hg&4zD"G*F57$Fgy$"3g8V<SVpt5Fey7$F\z$"3Btozk+%f@"Fey7$Faz$"3cGy"R'*z1Q"Fey7$Ffz$"3'4)\`;"3:b"Fey7$F[[l$"$v"F,-F`[l6&Fb[lFf[lFc[lFf[l-F&6$7S7$F*$!$+"F,7$F0$!3M9q"=fl'[')F57$F7$!3))QuS;GFwvF57$F<$!3sp7*pFi)zkF57$FA$!3)))=6+M+x[&F57$FF$!3%=z;Lgoag%F57$FK$!3#RQ,<A&=wQF57$FP$!3uOFWpg%e?$F57$FU$!3=/PNRo(yf#F57$FZ$!3=u8Pw)QD2#F57$Fin$!30*Gs\(\A5;F57$F_o$!3=D]7[[sj7F57$Fdo$!3Gzhl+*Q>O*F27$Fio$!3u^H=_*G8o'F27$F^p$!3dY1&oOuxh%F27$Fcp$!3562P$*))RRJF27$Fhp$!3&Rdh)*3cJ"=F27$F]q$!3D7gb7!H%35F27$Fbq$!3'ebv5a\n"QF]o7$Fgq$!3%o(QN3"f$HaFb`l7$F\r$"3e@a\a)\h:"F]o7$Far$"3c#=4th(Hn9F]o7$Ffr$"3(GN$e4&)H/5F]o7$F[s$"3'pf7:P'o#p$Fb`l7$F`s$"3%*e"G8T"GCCFes7$Fgs$"3IG)GJa-qk&Fb`l7$F\t$"3gE^!*z;uOBF]o7$Fat$"3JF^JLdH-hF]o7$Fft$"3C4B#fmYlD"F27$F[u$"3-6Q%Rewy>#F27$F`u$"3o@#))>pB>X$F27$Feu$"3K6]HFt?,`F27$Fju$"3e#4MGL$QFuF27$F_v$"3TuU2-i4C5F57$Fdv$"3bp$oFTgCL"F57$Fiv$"3ZcyI87<L<F57$F^w$"3=!zb#*Rjf<#F57$Fcw$"3N>KHveP7FF57$Fhw$"3<QcpTzz9LF57$F]x$"3f/@$Q68Q.%F57$Fbx$"30x[(HvTs"[F57$Fgx$"3UX5+RaL;dF57$F\y$"3tJ@&\yu8r'F57$Fay$"3h:gPb#*G@xF57$Fgy$"3Qpc(4N&3(**)F57$F\z$"3EVu"*3L.D5Fey7$Faz$"3SNyZnr'3<"Fey7$Ffz$"3e]I58RwA8Fey7$F[[l$"$]"F,-F`[l6&Fb[lFc[lFc[lFf[l-F&6$7S7$F*$!$D"F,7$F0$!3C+[%4_WN4"Fey7$F7$!37&4OFTh_o*F57$F<$!3[l[@w0](R)F57$FA$!3[+ODb*3>A(F57$FF$!3IW(*z#3ti;'F57$FK$!3IWaed)zVG&F57$FP$!3;cb2*y$HkWF57$FU$!3)Q"zx@&3.r$F57$FZ$!3QE0$z"3Q[IF57$Fin$!3#e[Fd'))*[X#F57$F_o$!3$f1F^0/2+#F57$Fdo$!3Cyt(y")=2c"F57$Fio$!3Af331L5*="F57$F^p$!3<^7qFxH=*)F27$Fcp$!3uPlgHZx*o'F27$Fhp$!3[)RI1$f.lXF27$F]q$!3K7))GI8NjJF27$Fbq$!3b>'H^;5R$>F27$Fgq$!3M>HLhjMb6F27$F\r$!3c?!GeD?Lz&F]o7$Far$!3!RRl:R9)zCF]o7$Ffr$!3=eo_(4]W4(Fb`l7$F[s$!38xEh^SaC5Fb`l7$F`s$!3.FoOUc`-7!#C7$Fgs$"3js/[XCK,5Fb`l7$F\t$"3;#43fF&*[w'Fb`l7$Fat$"3%p4nrv'=BBF]o7$Fft$"3UnoW!)f"\p&F]o7$F[u$"3A;mcIEj>6F27$F`u$"3sfytdAj6>F27$Feu$"3M5*H%fsh^JF27$Fju$"399fhR-!Rk%F27$F_v$"3C,w^<TP!p'F27$Fdv$"3C-XkUfP)**)F27$Fiv$"3SIL*Qe*)p?"F57$F^w$"3'er#=CSR`:F57$Fcw$"3-(>e))*HR!)>F57$Fhw$"3!GW52?&GnCF57$F]x$"3EwJCV]GcIF57$Fbx$"3TV6%G=Edq$F57$Fgx$"3S6_%)=8!*eWF57$F\y$"3?I^uW_M+`F57$Fay$"3/K<>,1KhhF57$Fgy$"3Q,#3-IFsD(F57$F\z$"3TM,QIbET$)F57$Faz$"3,C%y.rV0h*F57$Ffz$"31?6n4(>S4"Fey7$F[[l$"$D"F,-F`[l6&Fb[lFf[lFf[lFc[l-F&6$7S7$F*$!$]"F,7$F0$!3!*)*yq#[AAK"Fey7$F7$!3+vk!4+D%z6Fey7$F<$!3)f%Qa()Q^J5Fey7$FA$!357g\qv6c*)F57$FF$!3X(p#Giv2FxF57$FK$!3m/&pM\uDp'F57$FP$!3Iw$3(3:uAdF57$FU$!3mC@?/-uA[F57$FZ$!3By'*[fFACSF57$Fin$!3A#o#[cFd*H$F57$F_o$!3(o5H@E$oPFF57$Fdo$!3sQ"*oXPC&=#F57$Fio$!3!HUVprt+r"F57$F^p$!3w&=b)3@)=K"F57$Fcp$!3JOUec],C5F57$Fhp$!3cA#*Rrd"pJ(F27$F]q$!3'>h@![OF=`F27$Fbq$!3=$o^hPXh[$F27$Fgq$!3A+BeJ"*RcAF27$F\r$!3UY^hO!zUF"F27$Far$!3mq*R/SEpU'F]o7$Ffr$!3^C()3H&)=BCF]o7$F[s$!3#>&ztuWxTdFb`l7$F`s$!3s&\vT7K$[CFes7$Fgs$!3u$)y;_wNWOFb`l7$F\t$!3t"3NsCEw$)*Fb`l7$Fat$!3)R$4)*=A#fX"F]o7$Fft$!3ye$H$)pMc<"F]o7$F[u$"3Cp@%*=x')QTFb`l7$F`u$"3%3)\([B3Mr$F]o7$Feu$"3"*3[c">F?+"F27$Fju$"3eOxRYrTg=F27$F_v$"3')eCH9iyRJF27$Fdv$"3)*3`gdx9sYF27$Fiv$"3cT!)yW&z!3oF27$F^w$"36>k4"\Y#3$*F27$Fcw$"3'[<BC75%[7F57$Fhw$"31Z_sfCx>;F57$F]x$"3E[Ulspvy?F57$Fbx$"334uq71@%f#F57$Fgx$"33y$*o)>n9?$F57$F\y$"3QH"QXq:$*)QF57$Fay$"3=\u+Z>N,YF57$Fgy$"3zM2W\#pt^&F57$F\z$"3LLeerz>KkF57$Faz$"34"\yfu:C^(F57$Ffz$"3a&*=Ri]v_')F57$F[[l$"$+"F,-F`[l6&Fb[lFc[lFf[lFc[l-F&6$7S7$F*$!$v"F,7$F0$!3'y*4ZW/!4b"Fey7$F7$!3gS$R0'QK!R"Fey7$F<$!3U0iY<xFB7Fey7$FA$!3AUQd=E.p5Fey7$FF$!3!*\cwT?)yG*F57$FK$!3vlNNH"p25)F57$FP$!3W'>T$G#*=")pF57$FU$!3-Mji')=<NfF57$FZ$!3yI)[5qk++&F57$Fin$!3**yyBZmCWTF57$F_o$!3YZ68pCmuMF57$Fdo$!3a**3]t'o(4GF57$Fio$!3H()f!y7W5B#F57$F^p$!3SY-%\WM>v"F57$Fcp$!3%*=y?SE0z8F57$Fhp$!3v/o@h&zo+"F57$F]q$!3/7Wvlf>tuF27$Fbq$!3/ZP<(e!QQ]F27$Fgq$!3i!oJ=!>XdLF27$F\r$!3a!\Zw/E#p>F27$Far$!3xa9$4%QSP5F27$Ffr$!3[jZU[?$p8%F]o7$F[s$!3kAjy*[+f/"F]o7$F`s$!3/Bt#>*)QY)[Fes7$Fgs$!3wRi")\x.!H)Fb`l7$F\t$!3GDy.xZ,WEF]o7$Fat$!34k*G^>J]B&F]o7$Fft$!3o%e0rP&=Y!)F]o7$F[u$!3'Hx(=w_&o."F27$F`u$!3wjGw51&*o6F27$Feu$!3_#H+j(GcZ6F27$Fju$!339W?o%f1B*F]o7$F_v$!3&f$oK*)o,3TF]o7$Fdv$"3'*f6mDd>fMF]o7$Fiv$"39"yU1Djia"F27$F^w$"3;zcOSFb#3$F27$Fcw$"3%z_"))fCFk^F27$Fhw$"3Q70S(=(fAxF27$F]x$"3F?`1-*G75"F57$Fbx$"33vOdU]p#["F57$Fgx$"31WN`yI.W>F57$F\y$"3'y7JV;'GyCF57$Fay$"3)f;BGH$QTIF57$Fgy$"3]nKn)>6vx$F57$F\z$"3oL:z7/8BXF57$Faz$"3Ig&y:y(G9aF57$Ffz$"35"fs!GIJljF57$F[[l$"#vF,-F`[l6&Fb[lFf[lFc[lFc[l-F&6$7S7$F*$!$+#F,7$F0$!3_'4MiSy&z<Fey7$F7$!351A<?FA,;Fey7$F<$!3*\c)QZ:/:9Fey7$FA$!3R$3)4![`CC"Fey7$FF$!3Qg[7_'o[3"Fey7$FK$!3TDwBlP'*3&*F57$FP$!3(e,uz%pjR#)F57$FU$!33W00pNgZqF57$FZ$!3k#)zgUm!f(fF57$Fin$!3wvI*z`?*))\F57$F_o$!3n(=LhnT;@%F57$Fdo$!3PgEJ,OHMMF57$Fio$!3M^&o'QX,_FF57$F^p$!3'oID5y')>=#F57$Fcp$!3b,9$QA!4M<F57$Fhp$!3;(o$HXv1#G"F57$F]q$!3*H@([$G="G'*F27$Fbq$!3M6e>)z:1f'F27$Fgq$!3gg53sY]eWF27$F\r$!3mM)z'eI<kEF27$Far$!3O7*==/:@V"F27$Ffr$!3W-3wnbn]eF]o7$F[s$!3:]))4KNi<:F]o7$F`s$!3/]"z'fc%4K(Fes7$Fgs$!3]fku%yrNH"F]o7$F\t$!3&H9_$HpE/VF]o7$Fat$!3H&*pFr,99!*F]o7$Fft$!3="=)e0On"\"F27$F[u$!3Kn\cH#*4:@F27$F`u$!3IDK,X?C4FF27$Feu$!3%RRlT%H:(H$F27$Fju$!3S>'Q+/\lq$F27$F_v$!3%f#y:#f*QhRF27$Fdv$!35xIZ7'3.)RF27$Fiv$!3szC]VIb:PF27$F^w$!3Ah]O559VJF27$Fcw$!31%poWIcb:#F27$Fhw$!3TZW^CAIDvF]o7$F]x$"3[BRw9$3qB"F27$Fbx$"3Q6%*RCZz6PF27$Fgx$"3m0rx$e*)f'oF27$F\y$"3oET7CmDn5F57$Fay$"3y#))Q'QYT"["F57$Fgy$"3@+e!z9`w.#F57$F\z$"3PMs*R&G19EF57$Faz$"3!)G'yr")fhJ$F57$Ffz$"3'fG`P*4(y2%F57$F[[l$"#]F,F_[l-F&6$7S7$F*$"$]#F,7$F0$"3[+'*)=/*3(=#Fey7$F7$"3->sa#G_q$>Fey7$F<$"35tHC:,]z;Fey7$FA$"35?20"z"QW9Fey7$FF$"3')[*flhaKB"Fey7$FK$"3'))3<:(f(o0"Fey7$FP$"3L76:yveG*)F57$FU$"3wFebVqh?uF57$FZ$"3w_5'ejhn4'F57$Fin$"3jr\XJxz4\F57$F_o$"3'=8a-639+%F57$Fdo$"3YcZvNwV@JF57$Fio$"3W=<;7m?yBF57$F^p$"3C]-aX&fOy"F57$Fcp$"3b28#f%\&zL"F57$Fhp$"3&pzg7'=2I"*F27$F]q$"3lCwdgEqEjF27$Fbq$"35R#f-L?y'QF27$Fgq$"3pQemAFp5BF27$F\r$"37/c;^Sme6F27$Far$"3#yyIJyG'f\F]o7$Ffr$"3jr`]>+*)=9F]o7$F[s$"3Ea`A.")3\?Fb`l7$F`s$"32aOt%Gr]S#Ffcm7$Fgs$!3DX4'4*[k-?Fb`l7$F\t$!3U=;=b!zHN"F]o7$Fat$!3)Q>MV^tjk%F]o7$Fft$!3\t$*3'>$)*Q6F27$F[u$!3VKK8h_ERAF27$F`u$!3W>dZ:XEBQF27$Feu$!3n?)f)=XB.jF27$Fju$!3GG=Bz/!yG*F27$F_v$!3D?N]B[2Q8F57$Fdv$!3Y+*G&)=v'*z"F57$Fiv$!3!3m'yn"zRT#F57$F^w$!3sJaO[!)y1JF57$Fcw$!3/%R;x*fygRF57$Fhw$!3f&)3U,/dM\F57$F]x$!3]_j['3qD6'F57$Fbx$!3$oG#olBX6uF57$Fgx$!3zA/pPE!y"*)F57$F\y$!3/E!\*[!p+1"Fey7$Fay$!3TY$Q-7kAB"Fey7$Fgy$!3GS;/gaW^9Fey7$F\z$!3)o-wg5`#o;Fey7$Faz$!3![ov?u3@#>Fey7$Ffz$!39SAM>%R!)=#Fey7$F[[l$!$]#F,-F`[l6&Fb[lFf[lFf[lFf[l-%+AXESLABELSG6$Q"x6"Q!Fc^p-%%VIEWG6$;$F.Fe[l$FfdoFe[lFh^p