{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 1 116 111 127 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 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 112 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 1 150 0 172 0 0 0 0 0 0 0 0 0 0 }1 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 104 168 230 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 "" 0 1 197 191 130 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 8 8 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "top_s03_2" {TEXT -1 30 "3.2 Differentia ting Functions" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1 996" }}{PARA 0 "" 0 "" {TEXT -1 63 "These are the shaded gray examples which appear in Section 3.2." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "restart; f:=x->x^2 * (x^5 + 1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG:6#%\"xG6\"6$%)operatorG%&arrowGF(*&9$\"\"#,&*$F-\"\"&\"\"\"F 2F2F2F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "D(f);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#:6#%\"xG6\"6$%)operatorG%&arrowGF&,&*&9$\"\" \",&*$F,\"\"&F-F-F-F-\"\"#*$F,\"\"'F0F&F&" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 8 "D(f)(2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"$_%" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "f:=x->(x^3 - 1) / (x + 2); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG:6#%\"xG6\"6$%)operatorG%&ar rowGF(*&,&*$9$\"\"$\"\"\"!\"\"F1F1,&F/F1\"\"#F1F2F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "m:=D(f)(2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"mG#\"#T\"#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "y:=m*(x - 2) + f(2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG ,&%\"xG#\"#T\"#;#!#F\"\")\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }