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{SECT 0 {EXCHG {PARA 265 "" 0 "" {TEXT 275 35 "Matematick\351 v\375po
\350ty se syst\351m Maple" }}}{EXCHG {PARA 266 "" 0 "" {TEXT -1 77 "au
tor:  Ing. Vladim\355r \216\341k\n  email:  zakyn@centrum.cz\n        \+
         web:   " }{URLLINK 17 "www.vladimirzak.com/maple" 4 "www.vlad
imirzak.com/maple" "" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }}{PARA 265 "
" 0 "" {TEXT -1 12 "            " }{TEXT 273 9 "recenzent" }{TEXT -1 
3 ":  " }{TEXT 272 31 "Prof. RNDr. Ji\370\355 H\370eb\355\350ek, CSc.
" }}{PARA 265 "" 0 "" {TEXT -1 48 "CENTRUM BIOSTATISTIKY A ANAL\335Z (
CBA LF a P\370F MU)" }}{PARA 265 "" 0 "" {TEXT -1 43 "L\351ka\370sk
\341 a P\370\355rodov\354deck\341 fakulta MU v Brn\354" }}{PARA 265 "
" 0 "" {TEXT -1 20 "hrebicek@cba.muni.cz" }}{PARA 265 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 265 "" 0 "" {TEXT -1 478 "Tento dokument je ur
\350en jen pro v\375ukov\351 \372\350ely a pro pou\236it\355 jen osoba
mi, kter\375m byl tento dokument poskytnut p\370\355mo autorem, pop
\370. si ho st\341hli z webov\351ho s\355dla autora. Jak\351koliv \350
\341sti dokumentu nen\355 mo\236n\351 pou\236\355t bez citace zdoje, t
edy n\341zvu dokumentu a jm\351na autora s kontaktn\355mi informacemi \+
(jak je zobrazeno v hlavi\350ce), kter\341 mus\355 b\375t autorovi sd
\354lena. Pro jin\351 pou\236it\355 ne\236 pro osobn\355 pot\370eby os
ob, tedy pro distribuci \350i kop\355rov\341n\355, je nutn\351 obdr
\236et p\355semn\375 souhlas autora. " }}{PARA 265 "" 0 "" {TEXT -1 0 
"" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }{TEXT 274 59 "Soubor vznikl s po
dporou grantov\351ho projektu FRV\212 3323/2006" }{TEXT -1 0 "" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 22 "Funkce da
n\351 implicitn\354" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "Funkce dan
\351 implicitn\354 rovnic\355 " }{OLE 1 4100 1 "[xm]Br=WfoRrB:::wk;nyy
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::5:" }{TEXT -1 69 "  jsou \350ast\375m probl\351mem p\370i v\375po
\350tech. Syst\351m Maple obsahuje p\370\355kaz  " }{TEXT 256 12 "impl
icitdiff" }{TEXT -1 38 ", kter\375 po\350\355t\341 derivace t\354chto \+
funkc\355." }}{PARA 0 "" 0 "" {TEXT 257 70 "implicitdiff( \{f1,...,fm
\}, \{y1,...yn\}, \{u1,...,ur\}, x1,..., xk)       " }{TEXT -1 1 "," }
}{PARA 0 "" 0 "" {TEXT -1 4 "kde " }{TEXT 258 10 "f1,..., fm" }{TEXT 
-1 42 " jsou algebraick\351 v\375razy, pop\370. rovnice;  " }{TEXT 
259 11 "y1, ..., yn" }{TEXT -1 47 "  jsou v\375razy nebo funkce z\341v
isl\375ch prom\354nn\375ch " }{TEXT 260 11 "u1, ..., ur" }{TEXT -1 3 "
;  " }{TEXT 261 11 "x1, ..., xk" }{TEXT -1 39 " jsou prom\354nn\351 po
dle nich\236 se derivuje." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 75 "Nejp
rve v\232ak uka\236me postup v\375po\350tu derivace funkce dan\351 imp
licitn\354 rovnic\355 " }{OLE 1 3588 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j:
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3:" }{TEXT -1 66 " bez u\236it\355 tohoto p\370\355kazu. Tuto rovnici \+
derivujeme podle prom\354nn\351 " }{TEXT 264 1 "x" }{TEXT -1 7 " a na \+
 " }{TEXT 263 1 "y" }{TEXT -1 35 " se d\355v\341me jako na funkci prom
\354nn\351 " }{TEXT 266 1 "x" }{TEXT -1 6 ", tj. " }{TEXT 262 4 "y(x)
" }{TEXT -1 28 ". Derivac\355 obdr\236\355me rovnici " }{OLE 1 4612 1 
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-1 32 " . Z t\351to rovnice pak vypo\350teme " }{OLE 1 4100 1 "[xm]Br=
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b:B><>=tYKLBxjZjirQE\\;;<j:DZ<NZ:j:F:F:CZDFZ:N:A>B:<J;PJ<]v;`Q=f:?R;Tv
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?^jB=EJ:@Z<f:G@PZ=::;jTB:;:QB:n>^;yayI:>:>;Ny<Z::^:<jPF:sZ:VY[B:I:;JX[
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IX\\:J:::::3:" }{TEXT -1 57 ". Tento postup lze u\236\355t i p\370i v
\375po\350tu vy\232\232\355ch derivac\355.  " }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 48 "Fxy:=x^2+x*y(x)+y(x)^2-3;        # zad\341n\355 \+
funkce" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FxyG,**$)%\"xG\"\"#\"\"\"
F**&F(F*-%\"yG6#F(F*F**$)F,F)F*F*\"\"$!\"\"" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 65 "derFxy:=diff(Fxy,x);             # v\375po\350et d
erivace funkce dle x " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'derFxyG,**
&\"\"#\"\"\"%\"xGF(F(-%\"yG6#F)F(*&F)F(-%%diffG6$F*F)F(F(*(F'F(F*F(F.F
(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "solve(derFxy,diff(y(
x),x));      # vypo\350ten\341 derivace " }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#,$*&,&*&\"\"#\"\"\"%\"xGF(F(-%\"yG6#F)F(F(,&F)F(*&F'F(F*F(F(!\"
\"F/" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "Nyn\355 provedeme v\375po
\350et pomoc\355 p\370\355kazu " }{TEXT 265 12 "implicitdiff" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "F:=x^2+x*y+y^2-3;" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"FG,**$)%\"xG\"\"#\"\"\"F**&F(F*%\"yGF*F*
*$)F,F)F*F*\"\"$!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "im
plicitdiff(F,y,x);             # v\375po\350et prvn\355 derivace" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&,&*&\"\"#\"\"\"%\"xGF(F(%\"yGF(F(,
&F)F(*&F'F(F*F(F(!\"\"F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 
"implicitdiff(F,y,x,x);           # v\375po\350et druh\351 derivace " 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"\"'\"\"\",(*$)%\"xG\"\"#F&F&*&
F*F&%\"yGF&F&*$)F-F+F&F&F&,**$)F*\"\"$F&F&*(F%F&F)F&F-F&F&*(\"#7F&F*F&
F/F&F&*&\"\")F&)F-F3F&F&!\"\"F:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
49 "V\355ce informac\355 o tomto p\370\355kazu naleznete v helpu." }}}
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" {MPLTEXT 1 0 0 "" }}}}{MARK "2 0 0" 287 }{VIEWOPTS 1 1 0 1 1 1803 1 
1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }