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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 670 "lndiff:=proc(f,x)\n
     local i,fct;\n     if not has(f,x) then 0\n     elif f=x then 1/x
\n     elif type(f,`+`) then diff(f,x)/f \n     elif type(f,`*`) then \+
\n       add(lndiff(op(i,f),x),i=1..nops(f))\n     elif type(f,`^`) th
en \n       if not has(op(2,f),x) then op(2,f)*lndiff(op(1,f),x)\n    \+
   else lndiff(exp(op(2,f)*ln(op(1,f))),x)\n       fi\n     elif type(
f,function) then\n       fct:=`lndiff/`.(op(0,f));\n       if not type
(fct,procedure) then traperror(readlib(fct)) fi;\n       if not type(f
ct,procedure) then \n         ERROR(`not yet implemented`,args)\n     \+
  else fct(op(f),x)\n       fi\n     else ERROR(`arguments do not matc
h the definition`,args)\n     fi\n   end:" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 226 " `lndiff/exp`:=proc(g,x)\n      diff(g,x)\n    end
:   \n `lndiff/ln`:=proc(g,x)\n      diff(g,x)/g/ln(g) \n    end:  \n \+
`lndiff/sin`:=proc(g,x)\n      diff(g,x)*cot(g)\n    end:\n `lndiff/co
s`:=proc(g,x)\n      diff(g,x)*tan(g)\n    end:" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 18 " f:=(x^3+1)/(x-1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"fG*&,&*$%\"xG\"\"$\"\"\"F*F*F*,&F(F*!\"\"F*F," }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "lndiff(f,x);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#,&*&%\"xG\"\"#,&*$F%\"\"$\"\"\"F*F*!\"\"F)*$,&F%F*
F+F*F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "f:=exp(x^2+x);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG-%$expG6#,&*$%\"xG\"\"#\"\"
\"F*F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "lndiff(f,x);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"xG\"\"#\"\"\"F&" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 21 "f:=ln((x^3+1)/(x-1));" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"fG-%#lnG6#*&,&*$%\"xG\"\"$\"\"\"F-F-F-,&F+F-!\"\"
F-F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "lndiff(f,x);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#**,&*&%\"xG\"\"#,&F&\"\"\"!\"\"F)F*\"
\"$*&,&*$F&F+F)F)F)F)F(!\"#F*F)F-F*F(F)-%#lnG6#*&F-F)F(F*F*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "f:=tan(x);" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%\"fG-%$tanG6#%\"xG" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "lndiff(f,x);" }}{PARA 8 "" 1 "" {TEXT -1 49 "Error, (
in lndiff) not yet implemented, tan(x), x" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}}{MARK "10 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }