% (find-LATEX "2025-2-C2-example-6.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2025-2-C2-example-6.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2025-2-C2-example-6.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page      "~/LATEX/2025-2-C2-example-6.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2025-2-C2-example-6.pdf"))
% (defun e () (interactive) (find-LATEX "2025-2-C2-example-6.tex"))
% (defun o () (interactive) (find-LATEX "2025-2-C2-example-6.tex"))
% (defun l () (interactive) (find-LATEX "2026logica-para-pessoas.lua"))
% (defun u () (interactive) (find-latex-upload-links "2025-2-C2-example-6"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2025-2-C2-example-6.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (defun oe () (interactive) (find-2a '(o) '(e)))
%          (code-eec-LATEX "2025-2-C2-example-6")
% (find-pdf-page   "~/LATEX/2025-2-C2-example-6.pdf")
% (find-sh0 "cp -v  ~/LATEX/2025-2-C2-example-6.pdf /tmp/")
% (find-sh0 "cp -v  ~/LATEX/2025-2-C2-example-6.pdf /tmp/pen/")
%     (find-xournalpp "/tmp/2025-2-C2-example-6.pdf")
%   file:///home/edrx/LATEX/2025-2-C2-example-6.pdf
%               file:///tmp/2025-2-C2-example-6.pdf
%           file:///tmp/pen/2025-2-C2-example-6.pdf
%  http://anggtwu.net/LATEX/2025-2-C2-example-6.pdf
% (find-LATEX "2019.mk")
% (find-Deps1-links "Caepro5 Piecewise2 Maxima2")
% (find-Deps1-cps   "Caepro5 Piecewise2 Maxima2")
% (find-Deps1-anggs "Caepro5 Piecewise2 Maxima2")
% (find-MM-aula-links "2025-2-C2-example-6" "2" "c2m252example6" "c2e6")

% «.screenshotdimens»	(to "screenshotdimens")
% «.geometries»		(to "geometries")
% «.screenshotgeometry»	(to "screenshotgeometry")
% «.defs»		(to "defs")
% «.defs-T-and-B»	(to "defs-T-and-B")
% «.defs-caepro»	(to "defs-caepro")
% «.defs-pict2e»	(to "defs-pict2e")
% «.defs-maxima»	(to "defs-maxima")
% «.defs-V»		(to "defs-V")
% «.defs-toclines»	(to "defs-toclines")
% «.title»		(to "title")
% «.links»		(to "links")
% «.example-6»		(to "example-6")
% «.notas-2023»		(to "notas-2023")
% «.notas-2023-2»	(to "notas-2023-2")
% «.notas-2023-3»	(to "notas-2023-3")
% «.example-6-defs»	(to "example-6-defs")

%newpage %-- defs

\documentclass[oneside,12pt]{article}
\usepackage[colorlinks,citecolor=DarkRed,urlcolor=DarkRed]{hyperref} % (find-es "tex" "hyperref")
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{pict2e}
\usepackage[x11names,svgnames]{xcolor} % (find-es "tex" "xcolor")
\usepackage{colorweb}                  % (find-es "tex" "colorweb")
%\usepackage{tikz}
%
% (find-LATEX "dednat7-test1.tex")
%\usepackage{proof}   % For derivation trees ("%:" lines)
%\input diagxy        % For 2D diagrams ("%D" lines)
%\xyoption{curve}     % For the ".curve=" feature in 2D diagrams
%
\usepackage{edrx21}               % (find-LATEX "edrx21.sty")
\input edrxaccents.tex            % (find-LATEX "edrxaccents.tex")
\input edrx21chars.tex            % (find-LATEX "edrx21chars.tex")
\input edrxheadfoot.tex           % (find-LATEX "edrxheadfoot.tex")
\input edrxgac2.tex               % (find-LATEX "edrxgac2.tex")
%
% «screenshotdimens»   (to ".screenshotdimens")
% Based on: (emacsconf2021a "screenshotdimens")
\newdimen\slidewidth
\slidewidth=15cm
\slidewidth=10.5cm
\slidewidth=16cm
\usepackage[paperwidth=\slidewidth,
            paperheight=0.625\slidewidth,
            top=1.5cm, bottom=.25cm, left=1cm, right=1cm, includefoot
           ]{geometry}
%
\begin{document}
%   ____                           _        _           
%  / ___| ___  ___  _ __ ___   ___| |_ _ __(_) ___  ___ 
% | |  _ / _ \/ _ \| '_ ` _ \ / _ \ __| '__| |/ _ \/ __|
% | |_| |  __/ (_) | | | | | |  __/ |_| |  | |  __/\__ \
%  \____|\___|\___/|_| |_| |_|\___|\__|_|  |_|\___||___/
%                                                       
% «geometries»          (to ".geometries")
% «screenshotgeometry»  (to ".screenshotgeometry")
% (find-LATEX "2021emacsconf.tex" "geometries")
% (find-es "tex" "pagestyle")
\savegeometry{original}
\newgeometry{top=0cm, left=0cm, right=0cm, ignoreheadfoot, bottom=0cm}
\savegeometry{screenshot}
\loadgeometry{original}
%
\def\originalgeometry{
  \loadgeometry{original}
  \setlength{\parindent}{18pt}
  \pagestyle{headings}}
\def\screenshotgeometry{
  \loadgeometry{screenshot}
  \setlength{\parindent}{0cm}
  \pagestyle{empty}}

% «defs»  (to ".defs")
% (find-LATEX "edrx21defs.tex" "colors")
% (find-LATEX "edrx21.sty")

\def\drafturl{http://anggtwu.net/LATEX/2025-2-C2.pdf}
\def\drafturl{http://anggtwu.net/2025.2-C2.html}
\def\draftfooter{\tiny \href{\drafturl}{\jobname{}} \ColorBrown{\shorttoday{} \hours}}

% (find-LATEX "2024-1-C2-carro.tex" "defs-caepro")
% (find-LATEX "2024-1-C2-carro.tex" "defs-pict2e")

\catcode`\^^J=10
\directlua{dofile "dednat7load.lua"}  % (find-LATEX "dednat7load.lua")
\directlua{dednat7preamble()}         % (find-angg "LUA/DednatPreamble1.lua")
\directlua{dednat7oldheads()}         % (find-angg "LUA/Dednat7oldheads.lua")

% «defs-T-and-B»  (to ".defs-T-and-B")
\long\def\ColorDarkOrange#1{{\color{orange!90!black}#1}}
\def\T(Total: #1 pts){{\bf(Total: #1)}}
\def\T(Total: #1 pts){{\bf(Total: #1 pts)}}
\def\T(Total: #1 pts){\ColorRed{\bf(Total: #1 pts)}}
\def\B       (#1 pts){\ColorDarkOrange{\bf(#1 pts)}}

% «defs-caepro»  (to ".defs-caepro")
%L dofile "Caepro5.lua"              -- (find-angg "LUA/Caepro5.lua" "LaTeX")
\def\Caurl   #1{\expr{Caurl("#1")}}
\def\Cahref#1#2{\href{\Caurl{#1}}{#2}}
\def\Ca      #1{\Cahref{#1}{#1}}

% «defs-pict2e»  (to ".defs-pict2e")
%L dofile "Piecewise2.lua"           -- (find-LATEX "Piecewise2.lua")
%L --dofile "Escadas1.lua"           -- (find-LATEX "Escadas1.lua")
\def\pictgridstyle{\color{GrayPale}\linethickness{0.3pt}}
\def\pictaxesstyle{\linethickness{0.5pt}}
\def\pictnaxesstyle{\color{GrayPale}\linethickness{0.5pt}}
\celllower=2.5pt

% «defs-maxima»  (to ".defs-maxima")
%L dofile "Maxima2.lua"              -- (find-angg "LUA/Maxima2.lua")
\pu

% «defs-V»  (to ".defs-V")
%L --- See: (find-angg "LUA/MiniV1.lua" "problem-with-V")
%L V = MiniV
%L v = V.fromab
\pu

% «defs-toclines»  (to ".defs-toclines")
% (c2m242introp 2 "defs-toclines")
% (c2m242introa   "defs-toclines")
% (c2m241introp 2 "defs-toclines")
% (c2m241introa   "defs-toclines")
%L dofile "TocLines2.lua"   -- (find-angg "LUA/TocLines2.lua" "dednat6")
%L toclines = TocLines.new(status.filename)
%L TocLines.fmts["slide"]   = "\\toclineslidetex  {<body>}{<page>}\n"
%L TocLines.fmts["slident"] = "\\toclineslidenttex{<body>}{<page>}\n"
\pu
\input 2024-2-defs-toc.tex   %  (find-angg "LATEX/2024-2-defs-toc.tex")

\sa {[RPot]}{\CFname{RPot}{}}
\sa{[RProd]}{\CFname{RProd}{}}
\sa   {[RC]}{\CFname{RC}{}}
\sa  {[RMC]}{\CFname{RMC}{}}
\sa{[RSoma]}{\CFname{RSoma}{}}
\sa {[TFC2]}{\CFname{TFC2}{}}
\sa{[TFC2?]}{\CFname{TFC2?}{}}
\sa{[TFC2L]}{\CFname{TFC2L}{}}
\def\P#1{\left( #1 \right)}


\newpage %-- title

%  _____ _ _   _                               
% |_   _(_) |_| | ___   _ __   __ _  __ _  ___ 
%   | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
%   | | | | |_| |  __/ | |_) | (_| | (_| |  __/
%   |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
%                      |_|          |___/      
%
% «title»  (to ".title")
% (c2m252example6p 1 "title")
% (c2m252example6a   "title")

\thispagestyle{empty}

\begin{center}

\vspace*{1.2cm}

{\bf \Large Cálculo 2 - 2025.2}

\bsk

O ``Example 6'' da p.131 do Stewart 7

e alguns outros objetos expansíveis

\bsk

Eduardo Ochs - RCN/PURO/UFF

\url{http://anggtwu.net/2025.2-C2.html}

\end{center}

\newpage %-- links

% «links»  (to ".links")
% (c2m252example6p 2 "links")
% (c2m252example6a   "links")
% (find-books "__analysis/__analysis.el" "stewart" "131" "Example 6")

{\bf Links}

\scalebox{0.6}{\def\colwidth{16cm}\firstcol{
}\anothercol{
}}

\newpage %-- example-6

% «example-6»  (to ".example-6")
% (c2m252example6p 3 "example-6")
% (c2m252example6a   "example-6")

\SLIDE{Example 6 (Stewart 7, p.131)}

\vspace*{-0.5cm}
% (find-includegraphics-links      "/tmp/example-6.pdf")
% (find-pdf-page      "~/LATEX/2025-2-C2/example-6.pdf")
$$\includegraphics[height=7cm]{2025-2-C2/example-6.pdf}$$



\newpage %-- notas-2023

% «notas-2023»  (to ".notas-2023")
% (c2m252example6p 99 "notas-2023")
% (c2m252example6a    "notas-2023")
% 2kT85: (c2m251justp 4 "example-6")
%        (c2m251justa   "example-6")

\SLIDE{Notas de 2023}

% 2kT85: (c2m251justp 4 "example-6")
%        (c2m251justa   "example-6")
% (c2m232justp 4 "example-6")
% (c2m232justa   "example-6")

\def\veja#1{\text{Veja \Ca{#1}}}
\def\porcom#1#2{\text{Por \ga{#1} com $#2$}}

\scalebox{0.5}{\def\colwidth{17cm}\firstcol{

De: \Ca{Stew2p31} (p.131)

$$\begin{array}{rcl}
  % Versão do Example 6, sem detalhes:
  F(x)  &=& (6x^3)(7x^4) \\
  F'(x) &=& (6x^3)\ddx(7x^4) + (7x^4)\ddx(6x^3) \\
        &=& (6x^3)(28x^3) + (7x^4)(18x^2) \\
        &=& 168x^6 + 126x^6 \\
        &=& 294x^6 \\
  \end{array}
$$

$$\begin{array}{rcll}
  \ga{[RC]}    &=& \P{\ddx c = 0}                                       & \veja{StewPtCap3p5} \\
  \ga{[RPot]}  &=& \P{\ddx x^n = nx^{n-1}}                              & \veja{StewPtCap3p7} \\
  \ga{[RMC]}   &=& \P{\ddx(cf(x)) = c\ddx f(x)}                         & \veja{StewPtCap3p8} \\
  \ga{[RSoma]} &=& \P{\ddx(f(x)+g(x)) = \ddx f(x) + \ddx g(x)}          & \veja{StewPtCap3p5} \\
  \ga{[RProd]} &=& \P{\ddx(f(x)g(x)) = f(x) \ddx g(x) + g(x) \ddx f(x)} & \veja{StewPtCap3p14} \\
  \end{array}
$$

$$\begin{array}{rcll}
  F(x)  &=& (6x^3)(7x^4) \\
  F'(x) &=& ((6x^3)(7x^4))' \\
        &=& \ddx((6x^3)(7x^4)) \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)\ddx(6x^3) & \porcom{[RProd]}{f(x)=6x^3, g(x)=7x^4} \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)·6\ddx x^3 & \porcom{[RMC]}{c=6, f(x)=x^3} \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)·6·3 x^2   & \porcom{[RPot]}{n=3} \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)(18x^2)    \\
        &=& (6x^3)·7\ddx x^4 + (7x^4)(18x^2)    & \porcom{[RMC]}{c=7, f(x)=x^4}  \\
        &=& (6x^3)·7·4x^3 + (7x^4)(18x^2)       & \porcom{[RPot]}{n=4} \\
        &=& (6x^3)(28x^3) + (7x^4)(18x^2) \\
        &=& (6x^3)(28x^3) + 126x^6 \\
        &=& 168x^6 + 126x^6 \\
        &=& 294x^6 \\
  \end{array}
$$

}\anothercol{
}}


\newpage %-- notas-2023-2

% «notas-2023-2»  (to ".notas-2023-2")
% (c2m252example6p 99 "notas-2023-2")
% (c2m252example6a    "notas-2023-2")
% 2jT77: (c2m242justp 5 "por-com-1")
%        (c2m242justa   "por-com-1")
% (c2m232justp 5 "por-com-1")
% (c2m232justa   "por-com-1")

\def\steq{\standout{$=$}}
\def\st#1{\standout{$#1$}}
\def\St#1{\standout{$\mathstrut#1$}}

{\bf Notas de 2023 (2)}

\scalebox{0.42}{\def\colwidth{14cm}\firstcol{

\vspace*{-0.5cm}

$$\begin{array}{rcll}
  F(x)  &=& (6x^3)(7x^4) \\
  F'(x) &=& ((6x^3)(7x^4))' \\
        &=& \st{\ddx((6x^3)(7x^4))} \\
    &\steq& \st{(6x^3)\ddx(7x^4) + (7x^4)\ddx(6x^3)} & \porcom{[RProd]}
                                                    {\st{f(x)}=\st{6x^3}, \st{g(x)}=\st{7x^4}} \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)·6\ddx x^3 & \porcom{[RMC]}{c=6, f(x)=x^3} \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)·6·3 x^2   & \porcom{[RPot]}{n=3} \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)(18x^2)    \\
        &=& (6x^3)·7\ddx x^4 + (7x^4)(18x^2)    & \porcom{[RMC]}{c=7, f(x)=x^4}  \\
        &=& (6x^3)·7·4x^3 + (7x^4)(18x^2)       & \porcom{[RPot]}{n=4} \\
        &=& (6x^3)(28x^3) + (7x^4)(18x^2) \\
        &=& (6x^3)(28x^3) + 126x^6 \\
        &=& 168x^6 + 126x^6 \\
        &=& 294x^6 \\
  \end{array}
$$

Compare: nós definimos $\ga{[RProd]}$ como esta igualdade,
%
$$\ga{[RProd]} \;\;=\;\; \P{\ddx(f(x)g(x)) = f(x) \ddx g(x) + g(x) \ddx f(x)}$$

e se substituirmos $f(x)$ por $6x^3$ e $g(x)$ por $7x^4$ na igualdade
$\ga{[RProd]}$ nós obtemos isto aqui,
%
$$\begin{array}{lcll}
  \ga{[RProd]}         &=& \P{\D \ddx(f(x)g(x)) = f(x) \ddx g(x) + g(x) \ddx f(x)} \\
  \ga{[RProd]} \bmat{\st{f(x)} := \st{6x^3} \\
                     \st{g(x)} := \st{7x^4} \\
                    }
                       &=& \P{\st{\D \ddx((6x^3)(7x^4))}
                              \;\st{=}\;
                              \st{(6x^3) \ddx (7x^4) + (7x^4) \ddx (6x^3)}} \\
  \end{array}
$$

que é exatamente a igualdade que eu marquei lá em cima...

}\anothercol{
}}


\newpage %-- notas-2023-3

% «notas-2023-3»  (to ".notas-2023-3")
% (c2m252example6p 99 "notas-2023-3")
% (c2m252example6a    "notas-2023-3")
% 2jT78: (c2m251justp 6 "por-com-2")
%        (c2m251justa   "por-com-2")
% (c2m232justp 6 "por-com-2")
% (c2m232justa   "por-com-2")

{\bf Notas de 2023 (3)}

\scalebox{0.42}{\def\colwidth{14cm}\firstcol{

\vspace*{-0.5cm}

$$\begin{array}{rcll}
  F(x)  &=& (6x^3)(7x^4) \\
  F'(x) &=& ((6x^3)(7x^4))' \\
        &=& \ddx((6x^3)(7x^4)) \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)\ddx(6x^3) & \porcom{[RProd]}
                                                    {f(x)=6x^3, g(x)=7x^4} \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)·6\ddx x^3 & \porcom{[RMC]}{c=6, f(x)=x^3} \\
        &=& (6x^3)\ddx(7x^4) + (7x^4)·6·3 x^2   & \porcom{[RPot]}{n=3} \\
        &=& (6x^3)\st{\ddx(7x^4)} + (7x^4)(18x^2) \\
    &\steq& (6x^3)·\st{7\ddx x^4} + (7x^4)(18x^2) & \porcom{[RMC]}{\st{c}=\st{7},\st{f(x)}=\st{x^4}} \\
        &=& (6x^3)·7·4x^3 + (7x^4)(18x^2)       & \porcom{[RPot]}{n=4} \\
        &=& (6x^3)(28x^3) + (7x^4)(18x^2) \\
        &=& (6x^3)(28x^3) + 126x^6 \\
        &=& 168x^6 + 126x^6 \\
        &=& 294x^6 \\
  \end{array}
$$

Lembre que a ``regra da multiplicação por constante'' é esta igualdade
aqui,
%
$$\ga{[RMC]} \;\;=\;\; \P{\ddx(cf(x)) = c\ddx f(x)}$$

e se substituirmos $c$ por 7 e $f(x)$ por $x^4$ nela nós obtemos isto
aqui,
%
$$\begin{array}{lcll}
  \ga{[RMC]}                 &=& \P{\D \ddx(cf(x)) = c\ddx f(x)} \\
  \ga{[RMC]} \bmat{\st{c} := \st{7} \\
                   \st{f(x)} := \st{x^4} \\
                    }
                       &=& \P{\st{\D\ddx(7x^4)}
                              \;\st{=}\;
                              \st{\D 7 \ddx x^4}} \\
  \end{array}
$$

O `$\steq$' logo acima desta frase justifica a parte que muda no
`$\steq$' lá de cima!

}\anothercol{
}}

\newpage




%newpage %-- example-6-defs

% «example-6-defs»  (to ".example-6-defs")
% (c2m252example6p 99 "example-6-defs")
% (c2m252example6a    "example-6-defs")

\def\eqnp         #1{\overset{\scriptscriptstyle(#1)}{=}}
\def\Eqn          #1{\eqnp{#1}}                            % temporary
\def\lstandout  #1#2{\standout{${#2}$}_{\text{#1}}}
\def\luastandout#1#2{\lstandout{#1}{#2}}                   % temporary
\def\Eqn          #1{\luastandout {=#1} {\eqnp{#1}}}

%L standout_no = function (tag) return "" end
%L standout_sl = function (tag) return format("\\lstandout {%s}", tag) end
%L standout_s  = function (tag) return format("\\lstandout {}",   tag) end
%L luastandout = function (tag)
%L     if tag:match"^E"      then return standout_no(tag) end
%L     if tag:match"^[LR]4$" then return standout_s (tag) end
%L     if tag:match"^[LR]6$" then return standout_sl(tag) end
%L     return ""
%L   end
%L
%L standoutspec = {{"^E","no"}, {"^[LR]4$","s"}, {"^[LR]6$","sl"}, {"","no"}}
%L luastandout = function (tag)
%L     for _,pair in ipairs(standoutspec) do
%L       local re,kind = pair[1]:gsub("_","$"),pair[2]
%L       if tag:match(re) then return _G["standout_"..kind](tag) end
%L     end
%L     return standout_sl(tag)
%L   end
%L
%L standout_eq_Es = function (n)
%L     standoutspec = {{"^[E=]"..n.."_","s"}, {"^E"..(n+1).."_","s"}, {"","no"}}
%L   end
%L standout_eq_LR = function (n)
%L     standoutspec = {{"^[LR=]"..n.."_","s"}, {"","no"}}
%L   end
\pu
\def\luastandout #1{\expr{ luastandout("#1")   }}
\def\standoutspec#1{\eval{ standoutspec = {#1} }}

\standoutspec{{"^E","no"}, {"^[LR]4$","s"}, {"^[LR]6$","sl"}, {"","no"}}
\standoutspec{{"=4","sl"}, {"[LR]4","s"}, {"[LR][67]","sl"}, {"","no"}}
\standoutspec{{"^E","no"}, {"^[LR]1_","s"}, {"^[LR][67]_","sl"}, {"","no"}}
\standoutspec{{"","s"}}

\eval{standout_eq_Es(2)}
\eval{standout_eq_LR(3)}

\sa{example 6 defs}{
  \sa {E1} {\luastandout {E1} {\luastandout {L1} {((6x^3)(7x^4))'}}}
  \sa {E2} {\luastandout {E2} {\luastandout {R1} {\luastandout {L2} {\ddx((6x^3)(7x^4))}}}}
  \sa {E3} {\luastandout {E3} {\luastandout {R2} { (6x^3)\ddx(7x^4) + (7x^4) \luastandout {L3} {\ddx(6x^3)} }}}
  \sa {E4} {\luastandout {E4} {(6x^3)\ddx(7x^4) + (7x^4) · \luastandout {R3} {6 · \luastandout {L4} {\ddx x^3}}}}
  \sa {E5} {\luastandout {E5} {(6x^3)\ddx(7x^4) + (7x^4) · \luastandout {L5} {6 · \luastandout {R4} {3 x^2}}}}
  \sa {E6} {\luastandout {E6} {(6x^3) \luastandout {L6} {\ddx(7x^4)} + (7x^4) \luastandout {R5} {(18x^2)}}}
  \sa {E7} {\luastandout {E7} {(6x^3)·\luastandout {R6} {7 \luastandout {L7} {\ddx x^4}} + (7x^4)(18x^2)}}
  \sa {E8} {\luastandout {E8} {(6x^3)·\luastandout {L8} {7·\luastandout {R7} {4x^3}} + (7x^4)(18x^2)}}
  \sa {E9} {\luastandout {E9} {(6x^3) \luastandout {R8} {(28x^3)} + \luastandout {L9} {(7x^4)(18x^2)}}}
  \sa {E10} {\luastandout {E10} {\luastandout {L10} {(6x^3)(28x^3)} + \luastandout {R9} {126x^6}}}
  \sa {E11} {\luastandout {E11} {\luastandout {L11} {\luastandout {R10} {168x^6} + 126x^6}}}
  \sa {E12} {\luastandout {E12} {\luastandout {R11} {294x^6}}}
}

\ga{example 6 defs}

\sa{example 6 array rcl}{
  \begin{array}{rcl}
  \ga{E1} & \Eqn{1} & \ga{E2} \\
          & \Eqn{2} & \ga{E3} \\
          & \Eqn{3} & \ga{E4} \\
          & \Eqn{4} & \ga{E5} \\
          & \Eqn{5} & \ga{E6} \\
          & \Eqn{6} & \ga{E7} \\
          & \Eqn{7} & \ga{E8} \\
          & \Eqn{8} & \ga{E9} \\
          & \Eqn{9} & \ga{E10} \\
          & \Eqn{10} & \ga{E11} \\
          & \Eqn{11} & \ga{E12} \\
  \end{array}
  }

\sa{example 6 array rcll}{
  \begin{array}{rcll}
  \ga{E1} & \Eqn{1} & \ga{E2} \\
          & \Eqn{2} & \ga{E3} & ga{P2} \\
          & \Eqn{3} & \ga{E4} & ga{P3} \\
          & \Eqn{4} & \ga{E5} & ga{P4} \\
          & \Eqn{5} & \ga{E6} \\
          & \Eqn{6} & \ga{E7} & ga{P6} \\
          & \Eqn{7} & \ga{E8} & ga{P7} \\
          & \Eqn{8} & \ga{E9} \\
          & \Eqn{9} & \ga{E10} \\
          & \Eqn{10} & \ga{E11} \\
          & \Eqn{11} & \ga{E12} \\
  \end{array}
  }


\sa{example 6 slide}{
  \scalebox{0.8}{\def\colwidth{9cm}\firstcol{
    $$\ga{example 6 array rcll}$$
  }}
}

\standoutspec{{"","no"}}

{\def\eqnp#1{=}
 \ga{example 6 slide}
}

\newpage

 \ga{example 6 slide}

\newpage

\def\fooEs#1{
  \eval{standout_eq_Es(#1)}
  \ga{example 6 slide}
}
\def\fooLR#1{
  \eval{standout_eq_LR(#1)}
  \ga{example 6 slide}
}

         \fooEs{1}
\newpage \fooEs{2}
\newpage \fooEs{3}
\newpage \fooEs{4}
\newpage \fooEs{5}
\newpage \fooEs{6}
\newpage \fooEs{7}
\newpage \fooEs{8}
\newpage \fooEs{9}
\newpage \fooEs{10}
\newpage \fooEs{11}

         \fooLR{1}
\newpage \fooLR{2}
\newpage \fooLR{3}
\newpage \fooLR{4}
\newpage \fooLR{5}
\newpage \fooLR{6}
\newpage \fooLR{7}
\newpage \fooLR{8}
\newpage \fooLR{9}
\newpage \fooLR{10}
\newpage \fooLR{11}


%newpage %-- footer


\GenericWarning{Success:}{Success!!!}  % Used by `M-x cv'

\end{document}

% (find-pdfpages2-links "~/LATEX/" "2025-2-C2-example-6")


% Local Variables:
% coding: utf-8-unix
% outline-regexp: "[%\\\\]newpage %--"
% ee-tla: "c2e6"
% ee-tla: "c2m252example6"
% End:
