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{SECT 0 {EXCHG {PARA 18 "" 0 "top_s05_1" {TEXT -1 18 "5.1  Local Max/M
in" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1996" }}
{PARA 0 "" 0 "" {TEXT -1 119 "These are the shaded gray examples which
 appear in Section 5.1. In-line plots have been removed to conserve di
sk space." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "restart; f:=x^
3 + 0.2*x^2 - x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,(*$%\"xG\"
\"$\"\"\"*$F'\"\"#$F+!\"\"F'F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 15 "Df:=diff(f, x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#DfG,(*$%
\"xG\"\"#\"\"$F'$\"\"%!\"\"F,\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 28 "xmax:=fsolve(Df=0, x=-1..0);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%xmaxG$!+D>`yk!#5" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 27 "xmin:=fsolve(Df=0, x=0..1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%xminG$\"+\"f)>X^!#5" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 33 "subs(x=xmax, f); subs(x=xmin, f);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#$\"+c/$))f%!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+
q_k`K!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "f:=x->x^3 + 0.2
*x^2 - x;\nxmax:=fsolve(D(f)(x)=0, x=-1..0);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"fG:6#%\"xG6\"6$%)operatorG%&arrowGF(,(*$9$\"\"$\"\"
\"*$F.\"\"#$F2!\"\"F.F4F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%xmax
G$!+D>`yk!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "f(xmax);" }}
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1803 }