{VERSION 6 0 "IBM INTEL NT" "6.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 
1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 1 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 261 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
262 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 
0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 266 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
267 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 1 1 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 271 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
272 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 1 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 276 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
277 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 287 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 288 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 289 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 290 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal
" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 
1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 
-1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 
0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 
0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal
" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }
3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 257 1 {CSTYLE "" -1 
-1 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 
0 1 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 
1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 
259 1 {CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 
0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 260 1 {CSTYLE "" -1 -1 "T
imes" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }
{PSTYLE "Normal" -1 261 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 
2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 
262 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 
0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Bullet Item" -1 263 1 {CSTYLE "" -1 
-1 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 3 3 1 0 1 0 2 2 
15 2 }{PSTYLE "Normal" -1 264 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 
1 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "zakyn" 264 
265 1 {CSTYLE "" -1 -1 "" 0 0 0 0 0 0 2 2 2 0 0 1 0 0 0 0 }0 0 0 -1 
-1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 265 267 1 {CSTYLE "" -1 -1 "" 0 1 
0 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 265 "" 0 "" {TEXT 290 35 "Matematick\351 v\375po
\350ty se syst\351m Maple" }}}{EXCHG {PARA 267 "" 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 288 9 "recenzent" }{TEXT -1 
3 ":  " }{TEXT 287 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 289 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 15 "Derivace \+
funkce" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 65 "Dal\232\355m z\341kladn
\355m pojmem diferenci\341ln\355ho po\350tu je derivace funkce." }}
{PARA 0 "" 0 "" {TEXT -1 66 "K v\375po\350tu prvn\355 derivace funkce \+
jedn\351 prom\354nn\351 jsou ur\350eny p\370\355kazy" }}{PARA 0 "" 0 "
" {TEXT 260 14 "Diff( f(x), x)" }{TEXT -1 38 "                   - mat
ematick\375 z\341pis" }}{PARA 0 "" 0 "" {TEXT 259 17 "diff( f(x), x)  \+
 " }{TEXT -1 26 "                 - v\375po\350et" }}{PARA 0 "" 0 "" 
{TEXT -1 13 "M\355sto funkce " }{TEXT 257 4 "f(x)" }{TEXT -1 125 " lze
 v t\354chto p\370\355kazech pou\236\355t i v\375raz pro v\375po\350et
 hodnoty funkce. Pro ur\350en\355 hodnoty derivace funkce zapsan\351 p
omoc\355 p\370\355kazu " }{TEXT 258 4 "Diff" }{TEXT -1 17 " lze u\236
\355t p\370\355kaz " }{TEXT 256 5 "value" }{TEXT -1 1 "." }}{PARA 0 "
" 0 "" {TEXT -1 48 "Pro v\375po\350et druh\351, pop\370. t\370et\355, \+
derivace funkce " }{TEXT 262 4 "f(x)" }{TEXT -1 32 " pou\236ijeme tent
o p\370\355kaz ve tvaru" }}{PARA 0 "" 0 "" {TEXT 261 15 "diff( f(x),x,
x)" }{TEXT -1 16 "    , pop\370.     " }{TEXT 263 18 "diff( f(x), x,x,
x)" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 69 "Vy\232\232\355 stu
pe\362 derivace se tvo\370\355 p\370id\341n\355m dal\232\355ho paramet
ru do p\370\355kazu " }{TEXT 264 4 "diff" }{TEXT -1 1 "." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "Diff(ln(x^2-3*x+5),x)=diff(ln(x^2-3
*x+5),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%%DiffG6$-%#lnG6#,(*$)%
\"xG\"\"#\"\"\"F/*&\"\"$F/F-F/!\"\"\"\"&F/F-*&,&*&F.F/F-F/F/F1F2F/F*F2
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "f:=x->ln(x^2-3*x+5);" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)operatorG%&arro
wGF(-%#lnG6#,(*$)9$\"\"#\"\"\"F4*&\"\"$F4F2F4!\"\"\"\"&F4F(F(F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "Diff(f(x),x,x)=diff(f(x),x,x
);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%%DiffG6$-%#lnG6#,(*$)%\"xG\"
\"#\"\"\"F/*&\"\"$F/F-F/!\"\"\"\"&F/-%\"$G6$F-F.,&*&F.F/F*F2F/*&,&*&F.
F/F-F/F/F1F2F.F*!\"#F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "D
iff(f(x),x$3)=diff(f(x),x$3);    # u\236it\355 znaku $ jako opakova
\350e" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%%DiffG6$-%#lnG6#,(*$)%\"xG
\"\"#\"\"\"F/*&\"\"$F/F-F/!\"\"\"\"&F/-%\"$G6$F-F1,&*(\"\"'F/F*!\"#,&*
&F.F/F-F/F/F1F2F/F2*(F.F/F;F1F*!\"$F/" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 7 "P\370\355kaz " }{TEXT 274 4 "diff" }{TEXT -1 68 " lze tak
\351 u\236\355t pro v\375po\350et parci\341ln\355 derivace funkce v
\355ce prom\354nn\375ch" }}{PARA 0 "" 0 "" {TEXT 275 26 "diff( f(x,y,z
), x)        " }{TEXT -1 36 "- parci\341ln\355 derivace podle prom\354
nn\351 " }{TEXT 276 1 "x" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 77 "Diff(sin(t)*ln(s),t,s)=diff(sin(t)*ln(s),t,s);   # sm
\355\232en\341 parci\341ln\355 derivace" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#/-%%DiffG6%*&-%$sinG6#%\"tG\"\"\"-%#lnG6#%\"sGF,F+F0*&-%$cosGF*F
,F0!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 75 "Dal\232\355 mo\236nos
t\355, jak v Maplu vypo\350\355st derivaci funkce, je oper\341tor deri
vace " }{TEXT 265 1 "D" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT 269 
15 "D(jm\351no funkce)" }{TEXT -1 50 "                          - v
\375po\350et prvn\355 derivace" }}{PARA 0 "" 0 "" {TEXT 270 23 "( D@@n
 )(jm\351no funkce) " }{TEXT -1 22 "            - v\375po\350et " }
{TEXT 268 1 "n" }{TEXT -1 12 "-t\351 derivace" }}{PARA 0 "" 0 "" 
{TEXT -1 26 "Ekvivalentn\355 z\341pis pomoc\355 " }{TEXT 273 4 "Diff" 
}{TEXT -1 4 " je " }{TEXT 272 29 "Diff( jm\351no funkce, prom\354nn
\341)" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 139 "Pomoc\355 n\354
j lze vypo\350\355st derivace jak standardn\355ch funkc\355, tak i fun
kc\355 definovan\375ch u\236ivatelem. V\375sledkem proveden\355 operac
e je op\354t funkce." }}{PARA 0 "" 0 "" {TEXT -1 9 "Oper\341tor " }
{TEXT 277 1 "D" }{TEXT -1 40 " je tak\351 obsa\236en v roz\232i\370uj
\355c\355 knihovn\354 " }{TEXT 266 7 "student" }{TEXT -1 66 ". Proto d
al\232\355 p\370\355klady u\236it\355 tohoto oper\341toru naleznete v \+
p\370\355loze " }{TEXT 267 15 "student package" }{TEXT -1 1 "." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "restart:\nD(cos);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,$%$sinG!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 23 "f:=x->cos(x)+7*x^2-2*x;" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%\"fGf*6#%\"xG6\"6$%)operatorG%&arrowGF(,(-%$cosG6#9$\"\"\"*&\"
\"(F1)F0\"\"#F1F1*&F5F1F0F1!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 9 "df:=D(f);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#dfGf*6
#%\"xG6\"6$%)operatorG%&arrowGF(,(-%$sinG6#9$!\"\"*&\"#9\"\"\"F0F4F4\"
\"#F1F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "df(0);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#!\"#" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 16 "ddf:=(D@@2)(df);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>
%$ddfG%$sinG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "dddh:=(D@@3
)(h);         # h nen\355 definov\341no, proto symbolick\375 z\341pis \+
t\370et\355 derivace " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%dddhG--%#@
@G6$%\"DG\"\"$6#%\"hG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "h:
=x->x^4-3*x^3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"hGf*6#%\"xG6\"6$
%)operatorG%&arrowGF(,&*$)9$\"\"%\"\"\"F1*&\"\"$F1)F/F3F1!\"\"F(F(F(" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "dddh(h);" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#,&*&\"#C\"\"\"%\"hGF&F&\"#=!\"\"" }}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 61 "N\341sleduj\355 p\370\355klady, kter\351 jsou pod
robn\354 vysv\354tleny v p\370\355loze " }{TEXT 271 15 "student packag
e" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "D(h); \+
                   # derivace podle prvn\355 prom\354nn\351" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#f*6#%\"xG6\"6$%)operatorG%&arrowGF&,&*&\"\"%
\"\"\")9$\"\"$F-F-*&\"\"*F-)F/\"\"#F-!\"\"F&F&F&" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 64 "D[1,1](h);               # druh\341 derivace \+
podle prvn\355 prom\354nn\351  " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#f*6
#%\"xG6\"6$%)operatorG%&arrowGF&,&*&\"#7\"\"\")9$\"\"#F-F-*&\"#=F-F/F-
!\"\"F&F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "f2:=(x,y,z)-
>x^3*y^2*z^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#f2Gf*6%%\"xG%\"yG%
\"zG6\"6$%)operatorG%&arrowGF**()9$\"\"$\"\"\")9%\"\"#F2)9&F5F2F*F*F*
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "D[1$3](f2);            \+
  # parci\341ln\355 derivace t\370et\355ho \370\341du podle prom\354nn
\351 x  " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#f*6%%\"xG%\"yG%\"zG6\"6$%)
operatorG%&arrowGF(,$*(\"\"'\"\"\")9%\"\"#F/)9&F2F/F/F(F(F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "D[1,1,1](f2)(0,1,1);     # p
arci\341ln\355 derivace t\370et\355ho \370\341du podle x v bod\354 [0,
1,1]" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"'" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 72 "D[1,2,3](f2);            # parci\341ln\355 deriv
ace t\370et\355ho \370\341du podle x, y, z" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#f*6%%\"xG%\"yG%\"zG6\"6$%)operatorG%&arrowGF(,$**\"#7\"
\"\")9$\"\"#F/9%F/9&F/F/F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "3 0" 0 }{VIEWOPTS 1 1 
0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }