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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 627 "y:=f(x);\nA(0,0) :=
 1/y;\nB(0,0) := diff(y,x)/y;\nfor i from 1 to 6 do w := i;\nA(0,w):= \+
simplify(sum('(-1)^(a-1)*y^(a-1)*diff(y,x$a)*y^(w-a+1)*A(0,w-a)/a!','a
'=1..w)/y^(w+1));B(0,w):= simplify(sum('(-1)^(a)*y^(a)*diff(y,x$(a+1))
*y^(w-a+1)*A(0,w-a)/a!','a'=0..w)/y^(w+1));A(l,0) := simplify(x^l*y*A(
0,0)/y);\nB(l,0) := simplify(x^l*y*B(0,0)/y);\nA(l,w) := simplify(sum(
'(-1)^(a)*l!/(a!*(l-a)!)*x^(l-a)*y^a*y^(w-a+1)*A(0,w-a)','a'=0..w)/y^(
w+1));\nB(l,w) := simplify(sum('(-1)^(a)*l!/(a!*(l-a)!)*x^(l-a)*y^a*y^
(w-a+1)*B(0,w-a)','a'=0..w)/y^(w+1));\nxprimeA := x - simplify(A(l,w-1
)/A(l,w));\nxprimeB := x - simplify(B(l,w-1)/B(l,w));\nod;" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"yG-%\"fG6#%\"xG" }}{PARA 11 "" 1 "" 
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{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"!*&)%\"xGF'\"\"\"-%
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{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(xprimeBG,&%\"xG\"\"\"**F&F'-%%diffG
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{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$\"\"!\"\"#,$*&,&*$-%%diffG6$-
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11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"#,$*&,(*$-%%diffG6$-%\"fG6
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F6F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"!*&)%\"xGF'
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1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"#,$*&,,*&)%\"xGF'\"\"\"-%%diffG6
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{PARA 12 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"#,$*&,0*&)%\"xGF'\"
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{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(xprimeAG,&%\"xG\"\"\"**-%\"fG6#F&F'
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" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(xprimeBG,&%\"xG\"\"\"**-%\"fG6#
F&F'F&F',(*&-%%diffG6$F)F&\"\"#F&F'!\"\"*(F)F'-F/6$F.F&F'F&F'F'*(%\"lG
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F&F1F'**F7F'F)F'F.F1F&F'!\"#**F7F'F)F1F4F'F&F'F1*(F7F1F)F1F.F'F'*(F7F'
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{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$\"\"!\"\"$,$*&,(*$-%%diffG6$-
%\"fG6#%\"xGF3F(\"\"'*(F0\"\"\"-F.6$F-F3F6F-F6!\"'*&F0\"\"#-F.6$F7F3F6
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F7F5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"!*&)%\"xGF'
\"\"\"-%\"fG6#F+!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"l
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1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"$,$*&,6*&)%\"xGF'\"\"\"-%%diffG6
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{XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"$,$*&,@*&)%\"xGF'\"\"\"-%%diffG6$-%\"
fG6#F.F.\"\"%!\"'**F-F/F3F/-F16$F0F.F/F0\"\"#\"#7**F-F/F3F;-F16$F9F.F/
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meAG,&%\"xG\"\"\"**-%\"fG6#F&F'F&F',,*&-%%diffG6$F)F&\"\"#F&F1!\"#*(F)
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{XPPMATH 20 "6#>%(xprimeBG,&%\"xG\"\"\"**-%\"fG6#F&F'F&F',0*&-%%diffG6
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{XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"!*&)%\"xGF'\"\"\"-%\"fG6#F+!\"\"" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"!*()%\"xGF'\"\"\"-%%
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G6$%\"lG\"\"%,$*&,H*&)%\"xGF'\"\"\"-%%diffG6$-%\"fG6#F.F.F(!#C**F-F/F3
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&F'FW**F<F'F)F1F.F'F&F'\"\")*&F<FHF)FHFB*&F<F1F)FHF2*&F<F8F)FH!#6*&F<F
'F)FHF2FBFH" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(xprimeBG,&%\"xG\"\"
\"**-%\"fG6#F&F'F&F',@*&-%%diffG6$F)F&\"\"%F&\"\"$\"\"'**F)F'-F/6$F.F&
F'F.\"\"#F&F2!#7**F)F7-F/6$F5F&F'F.F'F&F2F1*(F)F7F5F7F&F2F2*(F)F2-F/6$
F:F&F'F&F2!\"\"**%\"lGF'F)F'F.F2F&F7!\"'*,FBF'F)F7F5F'F.F'F&F7\"\"***F
BF'F)F2F:F'F&F7!\"$**FBF7F)F7F.F7F&F'F2**FBF7F)F2F5F'F&F'FG**FBF'F)F7F
.F7F&F'FG**FBF'F)F2F5F'F&F'F2*(FBF2F)F2F.F'F@*(FBF7F)F2F.F'F2*(FBF'F)F
2F.F'!\"#F',Z*&F.\"\"&F&F1\"#C*(FBF1F)F1F.F'F'*(F)F1-F/6$F>F&F'F&F1F'*
(FBF2F)F1F.F'FC*(FBF7F)F1F.F'\"#6**FBF7F)F1F:F'F&F7F3**FBF'F)F2F5F7F&F
2F8*,FBF'F)F2F5F'F.F'F&F7\"#=**FBF'F)F2F.F7F&F'!\")**FBF'F)F1F:F'F&F7F
C**FBF'F)F'F.F1F&F2!#C**FBF'F)F1F>F'F&F2F1**FBF'F)F7F.F2F&F7F8*,FBF'F)
F7F5F'F.F7F&F2\"#[**FBF2F)F1F5F'F&F'F1*,FBF'F)F2F:F'F.F'F&F2!#;**FBF7F
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1F5F'F&F'\"\")*(FBF'F)F1F.F'FC**F)F2F5F'F:F'F&F1!#5**F.F'F)F7F5F7F&F1
\"#I**F)F2F>F'F.F'F&F1!\"&**F)F7F:F'F.F7F&F1\"#?**F)F'F5F'F.F2F&F1!#g*
*FBF2F)F2F.F7F&F'!\"%**FBF7F)F1F5F'F&F'F8F@Fhp" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"wG\"\"&" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>-%\"AG6
$\"\"!\"\"&,$*&,0*$-%%diffG6$-%\"fG6#%\"xGF3F(\"$?\"*(F0\"\"\"-F.6$F-F
3F6F-\"\"$!$S#*(F0\"\"#-F.6$F7F3F6F-F<\"#g*(F-F6F0F<F7F<\"#!**(F0F9-F.
6$F=F3F6F-F6!#5*(F0F9F7F6F=F6!#?*&F0\"\"%-F.6$FCF3F6F6F6F0!\"'#F6F4" }
}{PARA 12 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"&,$*&,8*$-%%diffG6$
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