MVR4
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6$7#-%#opG6#FR-%$rhsGFO>F@-Ffo6$F@<#--FU6#%-math/extremaG6$FLFP>FR-Ffo6$-Ffo6$F
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tGF[q?(F\oF\sF\sFhrF]oC%>8+-%&evalfG6#-%%subsG6$/FM,&&FRF[p#F\s""#&FR6#,&F\oF\s
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#%GFunction~is~increasing~in~interval(s):G-FdvFju@$1""$9#>9&FC@$0FFFDC$-Fdv6#%G
Function~is~decreasing~in~interval(s):G-FdvF_v@$/F[w""%>9'FF-%'RETURNGF=F=F=F=,
I2help/text/funplot-%%TEXTG63%A~FUNCTION:~funplot~-~graf~funkceG%"~G%3~CALLING~
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-~promennaG%1~a..b~-~intervalG%L~opt~-~volitelne~parametry,~viz~prikaz~plotGFax
%+~SYNOPSIS:G%fp~Procedura~funplot~vykresli~graf~funkce~a~zvyrazni~body~s~x-ovy
mi~souradnicemi~v~mnozine~p.GFax%0~SEE~ALSO:~plotGF=,
I'convex:6&F%F(%#kxG%#kkG6/F1%%InflGF3F4F6F7%#fxG%%krokG%"iG%&konv1G%&konv2G%%c
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6$FZF[\l>FRFZ>FZFbp>FRFhq>FR7#-Fcr6$F\o/F\oFR>FhrFir>FRF_s?(FHF\sF\sFhrF]oC(>Fd
s-Ffs6#,&&FR6#,&FHF\sF\sF\s#F\s""&&FRFj[l#F]sFc]l>F\o7#-Fcr6$-Ffs6#,&Fd]lF\s*&F
dsF\sFhtF\sF\s/Fht7%F_tFjvFgw>Fer7#-Ffs6#-Fcr6$-Fis6$FduFL/FhtF\o>Fjt-Ffs6#*&,&
&Fer6#F_tF\s&Fer6#F\sF]sF\s,&&F\oF__lF\s&F\oFa_lF]sF]s>FC-Ffs6#*&,&&Fer6#FjvF\s
F`_lF]sF\s,&&F\oF[`lF\sFd_lF]sF]s@&2FjtFC>FF7$F^v7$Fd]lF_]l2FCFjt>F`z7$-Fjp6#F`
zFb`l@$F_wC$-Fdv6#%CFunction~is~convex~in~interval(s):GFdw@$2F_tF[w>F]wFF@$0F`z
FDC$-Fdv6#%DFunction~is~concave~in~interval(s):G-FdvFg`l@$Ffw>FiwF`zFjwF=F=F=,
I1help/text/vytkni-F^x6*%1~FUNCTION:vytkniG%#~~GFbx%2~vytkni(fx,~expr)GF]bl%,PA
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I&pocet:6#'%$sezG%%listG6$%"pGFgyF=F=C%>FZFet?&F@FLF]o>FZ,&FZF\sF\sF\sFZF=F=F=,
I'vytkni:6$F&%%exprG6$%$citG%#jmGF=F=C'>FZ-%&numerG6#FL>F@-%&denomGFjcl>FZ-%'ex
pandG6#*&FZF\sFPF]s>F@-F`dl6#*&F@F\sFPF]s*&FZF\sF@F]sF=F=F=,
I'mysort:Fdbl6)Fgy%"jG%'indexjG%$pocG%$pomG%'vymenaG%"LGF=F=C'>FerFL>Fhr-F[s6#F
er>FZFet?(F=F\sF\sF=2FZ,&FhrF\sF]sF\sC(>FZF^cl>FH&Fer6#FZ>FRFZ>F@FZ?(F=F\sF\sF=
2F@FhrC$>F@,&F@F\sF\sF\s@$-%#isG6#1&Fer6#F@FHC$>FHF[gl>FRF@@$0FRFZC$>Fer-%'subs
opG6$/FRF]flFer>Fer-Fegl6$/FZFHFerFerF=F=F=,
I0help/text/monot-F^x61%G~FUNCTION:~monot~-~intervaly~monotonieGFaxFbx%4~monot(
expr,x=a..b)G%9~monot(expr,x=a..b,rost)G%>~monot(expr,x=a..b,rost,kles)GFaxFex%
:~expr~-~algebraicky~vyrazGFhxFix%\o~rost,~kles~-~promenne~bez~prirazene~hodnot
y,~volitelne~parametryGFaxF[y%h[l~Procedura~monot~vraci~intervaly~monotonie~vyr
azu~expr~na~intervalu~a..b.~Pokud~uvedeme~volitelne~parametry,~priradi~se~jim~s
eznamy~obsahujici~intervaly,~kde~je~funkce~rostouci~resp.~klesajici.~Funkce~mus
i~byt~na~zadanem~intervalu~spojita~s~vyjimkou~konecne~mnoha~bodu.GF=,
I(funplot:6%F%'Fibl%$setGF(6(%$optG%"tG%#grG%#yrG%$bodG%"sGF=F=C->FZ&9"F[`l>FRF
D@%32FjvF[w-%%typeG6$&Feil6#Fgw/F+%&rangeGC%>FZ6%FZF]jl/%*linestyleGFjv>FhrF]o>
F@Fc]lC%>FZ6$FZFdjl>Fhr%&falseG>F@Fgw?(F=F\sF\sF=1F@F[wC$>FZ6$FZ&FeilF\gl>F@Fef
l>FZ6$FZ/%%axesG%'NORMALG?&FHFPF]o>FR7$Fip-%%plotG6$7%FHF\o/F\o;Fet-Ffs6#-Fis6$
/-FN6#F]wFHFLFZ?&FHFPF]o>FR7$Fip-F^\m6$7%F\oFc\m/F\o;FetFHFZ@%Fhr>FZ-Fjp6#-Fegl
6$/Fjv%%NULLG7#FZ>FZ-Fjp6#-Fegl6$/F_tFi]mFj]m>FR7$Fip-F^\m6$FLFZ-%%withG6$%&plo
tsG%(displayG-Fi^mF[qF=F=F=,
I1help/text/convex-F^x61%X~FUNCTION:~convex~-~intervaly~konvexnosti~a~konkavnos
tiGFaxFbx%5~convex(expr,x=a..b)G%:~convex(expr,x=a..b,rost)G%?~convex(expr,x=a.
.b,rost,kles)GFaxFexFchlFhxFixFdhlFaxF[y%g\l~Procedura~convex~vraci~intervaly~k
onvexnosti~a~konkavnosti~vyrazu~expr~na~intervalu~a..b.~Pokud~uvedeme~volitelne
~parametry,~priradi~se~jim~seznamy~obsahujici~intervaly,~kde~je~funkce~konvexni
~resp.~konkavni.~Funkce~musi~byt~na~zadanem~intervalu~spojita~s~vyjimkou~konecn
e~mnoha~boduGF=
