% (find-LATEX "2022-2-C2-intro.tex")
% (defun a  () (interactive) (find-angg "2022-1-C2-C3/Apresentacao_julho.e"))
% (defun b  () (interactive) (find-TH "2022-apresentacao-sobre-C2"))
% (defun c  () (interactive) (find-LATEXsh "lualatex -record 2022-2-C2-intro.tex" :end))
% (defun C  () (interactive) (find-LATEXsh "lualatex 2022-2-C2-intro.tex" "Success!!!"))
% (defun D  () (interactive) (find-pdf-page      "~/LATEX/2022-2-C2-intro.pdf"))
% (defun D1 () (interactive) (find-pdf-page      "~/LATEX/2022-1-C2-intro.pdf"))
% (defun D2 () (interactive) (find-pdf-page      "~/LATEX/2021-2-C2-intro.pdf"))
% (defun d  () (interactive) (find-pdftools-page "~/LATEX/2022-2-C2-intro.pdf"))
% (defun e  () (interactive) (find-LATEX "2022-2-C2-intro.tex"))
% (defun o  () (interactive) (find-LATEX "2022-1-C2-intro.tex"))
% (defun u  () (interactive) (find-latex-upload-links "2022-2-C2-intro"))
% (defun v  () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2022-2-C2-intro.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
%          (code-eec-LATEX "2022-2-C2-intro")
% (find-pdf-page   "~/LATEX/2022-2-C2-intro.pdf")
% (find-sh0 "cp -v  ~/LATEX/2022-2-C2-intro.pdf /tmp/")
% (find-sh0 "cp -v  ~/LATEX/2022-2-C2-intro.pdf /tmp/pen/")
%     (find-xournalpp "/tmp/2022-2-C2-intro.pdf")
%   file:///home/edrx/LATEX/2022-2-C2-intro.pdf
%               file:///tmp/2022-2-C2-intro.pdf
%           file:///tmp/pen/2022-2-C2-intro.pdf
% http://angg.twu.net/LATEX/2022-2-C2-intro.pdf
% (find-LATEX "2019.mk")
% (find-sh0 "cd ~/LUA/; cp -v Pict2e1.lua Pict2e1-1.lua Piecewise1.lua ~/LATEX/")
% (find-sh0 "cd ~/LUA/; cp -v Pict2e1.lua Pict2e1-1.lua Pict3D1.lua ~/LATEX/")
% (find-sh0 "cd ~/LUA/; cp -v C2Subst1.lua C2Formulas1.lua ~/LATEX/")
% (find-CN-aula-links "2022-2-C2-intro" "2" "c2m222intro" "c2i")

% «.defs»			(to "defs")
% «.title»			(to "title")
% «.reginaldo»			(to "reginaldo")
% «.cursos-tradicionais»	(to "cursos-tradicionais")
%
% «.djvuize»			(to "djvuize")



% <videos>
% Video (not yet):
% (find-ssr-links     "c2m222intro" "2022-2-C2-intro")
% (code-eevvideo      "c2m222intro" "2022-2-C2-intro")
% (code-eevlinksvideo "c2m222intro" "2022-2-C2-intro")
% (find-c2m222introvideo "0:00")

\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-dn6 "preamble6.lua" "preamble0")
%\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")
%\usepackage{emaxima}              % (find-LATEX "emaxima.sty")
%
%\usepackage[backend=biber,
%   style=alphabetic]{biblatex}            % (find-es "tex" "biber")
%\addbibresource{catsem-slides.bib}        % (find-LATEX "catsem-slides.bib")
%
% (find-es "tex" "geometry")
\usepackage[a6paper, landscape,
            top=1.5cm, bottom=.25cm, left=1cm, right=1cm, includefoot
           ]{geometry}
%
\begin{document}

\catcode`\^^J=10
\directlua{dofile "dednat6load.lua"}  % (find-LATEX "dednat6load.lua")
%L dofile "Piecewise1.lua"           -- (find-LATEX "Piecewise1.lua")
%L dofile "QVis1.lua"                -- (find-LATEX "QVis1.lua")
%L dofile "Pict3D1.lua"              -- (find-LATEX "Pict3D1.lua")
%L dofile "C2Formulas1.lua"          -- (find-LATEX "C2Formulas1.lua")
%L Pict2e.__index.suffix = "%"
\pu
\def\pictgridstyle{\color{GrayPale}\linethickness{0.3pt}}
\def\pictaxesstyle{\linethickness{0.5pt}}
\def\pictnaxesstyle{\color{GrayPale}\linethickness{0.5pt}}
\celllower=2.5pt

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

\def\u#1{\par{\footnotesize \url{#1}}}

\def\drafturl{http://angg.twu.net/LATEX/2022-2-C2.pdf}
\def\drafturl{http://angg.twu.net/2022.2-C2.html}
\def\draftfooter{\tiny \href{\drafturl}{\jobname{}} \ColorBrown{\shorttoday{} \hours}}



%  _____ _ _   _                               
% |_   _(_) |_| | ___   _ __   __ _  __ _  ___ 
%   | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
%   | | | | |_| |  __/ | |_) | (_| | (_| |  __/
%   |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
%                      |_|          |___/      
%
% «title»  (to ".title")
% (c2m222introp 1 "title")
% (c2m222introa   "title")

\thispagestyle{empty}

\begin{center}

\vspace*{1.2cm}

{\bf \Large Cálculo 2 - 2022.2}

\bsk

Aula nn: ponha o título aqui

\bsk

Eduardo Ochs - RCN/PURO/UFF

\url{http://angg.twu.net/2022.2-C2.html}

\end{center}

\newpage

% % calc-easy-
% 
\def\ppr#1{(#1)'}
\def\PPR#1{\left(#1\right)'}
\def\P  #1{\left(#1\right)}
\def\Frac#1#2{\frac{\textstyle #1}{\textstyle #2}}
\sa{color Red1}{Red1!40!white}
\sa{color Blue1}{Blue1!40!white}
\sa{color Blue2}{Blue2!25!white}
\sa{color Green1}{Green1}
\def\Red   #1#2{\colorbox{\ga{color Red#1}}{$#2$}}
\def\RedP  #1#2{\colorbox{\ga{color Red#1}}{$\left(#2\right)$}}
\def\Blue  #1#2{\colorbox{\ga{color Blue#1}}{$#2$}}
\def\BlueP #1#2{\colorbox{\ga{color Blue#1}}{$\left(#2\right)$}}
\def\Green #1#2{\colorbox{\ga{color Green#1}}{$#2$}}
\def\GreenP#1#2{\colorbox{\ga{color Green#1}}{$\left(#2\right)$}}

$\scalebox{0.6}{$
 \begin{array}{rcl}
 \PPR{\Frac{5 + \sin{x}}{x^3 · \ln{x}}}
  &=&  \PPR{\Frac{\Red1{5 + \sin{x}}}{\Green1{x^3 · \ln{x}}}}
 \;=\; \P  {\Frac{\Red1{f          }}{\Green1{g}}}
 \;=\;     {\Frac{\Red1{f}'\Green1{g} - \Red1{f}\Green1{g}'}{\Green1{g}^2}} \\
  &=&      {\Frac{\RedP1{5 + \sin{x}}'\GreenP1{x^3 · \ln{x}} -
                  \RedP1{5 + \sin{x}} \GreenP1{x^3 · \ln{x}}'}
                 {\GreenP1{x^3 · \ln{x}}^2}} \\
  &=&      {\Frac{\RedP1{5 + \sin{x}}'\P      {x^3 · \ln{x}} -
                  \P    {5 + \sin{x}} \GreenP1{x^3 · \ln{x}}'}
                 {\P    {x^3 · \ln{x}}^2}} \\
  %
  \P{\Blue1{5} + \BlueP2{\sin{x}}}'
  &=&
 \end{array}
 $}
$

% (find-calceasyvideo "16:40" "(5 + sin x) / (x^3 ln x)")
% (find-calceasyvideo "17:19" "quotient rule")
% (find-calceasyvideo "17:25" "quotient rule")



\newpage

%  ____            _             _     _       
% |  _ \ ___  __ _(_)_ __   __ _| | __| | ___  
% | |_) / _ \/ _` | | '_ \ / _` | |/ _` |/ _ \ 
% |  _ <  __/ (_| | | | | | (_| | | (_| | (_) |
% |_| \_\___|\__, |_|_| |_|\__,_|_|\__,_|\___/ 
%            |___/                             
%
% «reginaldo»  (to ".reginaldo")
% (c2m222introp 2 "reginaldo")
% (c2m222introa   "reginaldo")

\thispagestyle{empty}

\vspace*{1cm}

\begin{center}

\scriptsize

{\it

Eu sou contra a gente deixar

o Eduardo fazer uma apresentação

sobre como ele tá dando os cursos dele

porque ele só vai falar

do que deu certo.

}

\msk
\msk

\tiny


Reginaldo Demarque da

Rocha, 7/julho/2022

\end{center}


\newpage

% «cursos-tradicionais»  (to ".cursos-tradicionais")
% (c2m222introp 2 "cursos-tradicionais")
% (c2m222introa   "cursos-tradicionais")

% (c2m212introp 2 "cursos-tradicionais")
% (c2m212introa   "cursos-tradicionais")
% (c2m202stp 7 "tabelas")
% (c2m202st    "tabelas")
% (find-books "__analysis/__analysis.el" "martins-martins")

Cursos tradicionais de C2 ensinam a fazer contas enormes sem errar e
eles supõem que as pessoas que fazem eles sabem C1 muito bem.

Tabela de derivadas e integrais

Algumas técnicas extras - principalmente mudança de variáveis

Consumidores de fórmulas versus produtores de fórmulas

Justificar cada passo

Erros que todo mundo faz

$\sqrt{α^2 + β^2x^2} = α + βx$

Consulte livros de Cálculo Avançado

árvores

dividir a substituição em duas

O que é ``calcular''?

Noção de funções mais simples / mais elementares

d/dx f(g(h(x)))

\newpage

%\printbibliography
% https://en.wikipedia.org/wiki/Equating_coefficients
% https://en.wikipedia.org/wiki/Nonelementary_integral
% https://en.wikipedia.org/wiki/Risch_algorithm
% https://en.wikipedia.org/wiki/RE_(complexity)

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

\end{document}

%  ____  _             _         
% |  _ \(_)_   ___   _(_)_______ 
% | | | | \ \ / / | | | |_  / _ \
% | |_| | |\ V /| |_| | |/ /  __/
% |____// | \_/  \__,_|_/___\___|
%     |__/                       
%
% «djvuize»  (to ".djvuize")
% (find-LATEXgrep "grep --color -nH --null -e djvuize 2020-1*.tex")

 (eepitch-shell)
 (eepitch-kill)
 (eepitch-shell)
# (find-fline "~/2022.2-C2/")
# (find-fline "~/LATEX/2022-2-C2/")
# (find-fline "~/bin/djvuize")

cd /tmp/
for i in *.jpg; do echo f $(basename $i .jpg); done

f () { rm -v $1.pdf;  textcleaner -f 50 -o  5 $1.jpg $1.png; djvuize $1.pdf; xpdf $1.pdf }
f () { rm -v $1.pdf;  textcleaner -f 50 -o 10 $1.jpg $1.png; djvuize $1.pdf; xpdf $1.pdf }
f () { rm -v $1.pdf;  textcleaner -f 50 -o 20 $1.jpg $1.png; djvuize $1.pdf; xpdf $1.pdf }

f () { rm -fv $1.png $1.pdf; djvuize $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 1.0 -f 15" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 1.0 -f 30" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 1.0 -f 45" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 0.5" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 0.25" $1.pdf; xpdf $1.pdf }
f () { cp -fv $1.png $1.pdf       ~/2022.2-C2/
       cp -fv        $1.pdf ~/LATEX/2022-2-C2/
       cat <<%%%
% (find-latexscan-links "C2" "$1")
%%%
}

f 20201213_area_em_funcao_de_theta
f 20201213_area_em_funcao_de_x
f 20201213_area_fatias_pizza



%  __  __       _        
% |  \/  | __ _| | _____ 
% | |\/| |/ _` | |/ / _ \
% | |  | | (_| |   <  __/
% |_|  |_|\__,_|_|\_\___|
%                        
% <make>

 (eepitch-shell)
 (eepitch-kill)
 (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2022-2-C2-intro veryclean
make -f 2019.mk STEM=2022-2-C2-intro pdf

% Local Variables:
% coding: utf-8-unix
% ee-tla: "c2i"
% ee-tla: "c2m222intro"
% End:
