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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (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: