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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2023-2-C2-teste-niv.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2023-2-C2-teste-niv.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2023-2-C2-teste-niv.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2023-2-C2-teste-niv.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2023-2-C2-teste-niv.pdf"))
% (defun e () (interactive) (find-LATEX "2023-2-C2-teste-niv.tex"))
% (defun o () (interactive) (find-LATEX "2023-2-C2-teste-niv.tex"))
% (defun u () (interactive) (find-latex-upload-links "2023-2-C2-teste-niv"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2023-2-C2-teste-niv.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (code-eec-LATEX "2023-2-C2-teste-niv")
% (find-pdf-page "~/LATEX/2023-2-C2-teste-niv.pdf")
% (find-sh0 "cp -v ~/LATEX/2023-2-C2-teste-niv.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2023-2-C2-teste-niv.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2023-2-C2-teste-niv.pdf")
% file:///home/edrx/LATEX/2023-2-C2-teste-niv.pdf
% file:///tmp/2023-2-C2-teste-niv.pdf
% file:///tmp/pen/2023-2-C2-teste-niv.pdf
% http://anggtwu.net/LATEX/2023-2-C2-teste-niv.pdf
% (find-LATEX "2019.mk")
% (find-Deps1-links "Caepro5 Piecewise1")
% (find-Deps1-cps "Caepro5 Piecewise1")
% (find-Deps1-anggs "Caepro5 Piecewise1")
% (find-MM-aula-links "2023-2-C2-teste-niv" "C2" "c2m232tn" "c2tn")
% «.defs» (to "defs")
% «.defs-T-and-B» (to "defs-T-and-B")
% «.defs-caepro» (to "defs-caepro")
% «.defs-pict2e» (to "defs-pict2e")
% «.title» (to "title")
% «.links» (to "links")
% «.as-perguntas» (to "as-perguntas")
%
% «.djvuize» (to "djvuize")
% <videos>
% Video (not yet):
% (find-ssr-links "c2m232tn" "2023-2-C2-teste-niv")
% (code-eevvideo "c2m232tn" "2023-2-C2-teste-niv")
% (code-eevlinksvideo "c2m232tn" "2023-2-C2-teste-niv")
% (find-c2m232tnvideo "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")
%
% (find-es "tex" "geometry")
\usepackage[a6paper, landscape,
top=1.5cm, bottom=.25cm, left=1cm, right=1cm, includefoot
]{geometry}
%
\begin{document}
% «defs» (to ".defs")
% (find-LATEX "edrx21defs.tex" "colors")
% (find-LATEX "edrx21.sty")
\def\drafturl{http://anggtwu.net/LATEX/2023-2-C2.pdf}
\def\drafturl{http://anggtwu.net/2023.2-C2.html}
\def\draftfooter{\tiny \href{\drafturl}{\jobname{}} \ColorBrown{\shorttoday{} \hours}}
% (find-LATEX "2023-1-C2-carro.tex" "defs-caepro")
% (find-LATEX "2023-1-C2-carro.tex" "defs-pict2e")
\catcode`\^^J=10
\directlua{dofile "dednat6load.lua"} % (find-LATEX "dednat6load.lua")
% «defs-T-and-B» (to ".defs-T-and-B")
\long\def\ColorOrange#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){\ColorOrange{\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 V = nil -- (find-angg "LUA/Pict2e1.lua" "MiniV")
%L dofile "Piecewise1.lua" -- (find-LATEX "Piecewise1.lua")
%L Pict2e.__index.suffix = "%"
\def\pictgridstyle{\color{GrayPale}\linethickness{0.3pt}}
\def\pictaxesstyle{\linethickness{0.5pt}}
\def\pictnaxesstyle{\color{GrayPale}\linethickness{0.5pt}}
\celllower=2.5pt
\pu
% _____ _ _ _
% |_ _(_) |_| | ___ _ __ __ _ __ _ ___
% | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
% | | | | |_| | __/ | |_) | (_| | (_| | __/
% |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
% |_| |___/
%
% «title» (to ".title")
% (c2m232tnp 1 "title")
% (c2m232tna "title")
\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo C2 - 2023.2}
\bsk
Aula 9: teste de nivelamento
(duração 15 mins, 13/set/2023)
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://anggtwu.net/2023.2-C2.html}
\end{center}
\newpage
% «links» (to ".links")
\sa{[RC]}{\CFname{RC}{}}
\sa {RC} {\ddx f(g(x)) = f'(g(x))g'(x)}
\sa{(RC)}{\left(\ga{RC}\right)}
\def\P #1{\left(#1\right)}
\scalebox{0.6}{\def\colwidth{11cm}\firstcol{
% «as-perguntas» (to ".as-perguntas")
% (c2m232tnp 2 "as-perguntas")
% (c2m232tna "as-perguntas")
{\bf As perguntas}
Calculem:
%
$$\ddx \,f(\sen(x^4) + \ln x)
$$
e digam em que semestre vocês passaram em Cálculo 1
e com quem vocês fizeram.
\bsk
{\bf Links}
\par \Ca{2hQ24} Quadro com a questão
\par \Ca{2hQ25} Quadro com a solução
\bsk
\bsk
{\bf Alguns chutes e testes}
\msk
$\begin{array}{lcl}
\ga{[RC]} &=& \ga{(RC)} \\
\ga{[RC]}\bmat{g(x):=\sen(x^4) \\
g'(x):=\ddx\sen(x^4) \\
} &=& \P{\ddx f(\sen(x^4)) = f'(\sen(x^4))\ddx\sen(x^4) } \\ \\[-9pt]
\ga{[RC]}\bmat{g(x):=\P{\sen(x^4) + \ln x}\\
g'(x):=\ddx\P{\sen(x^4) + \ln x}\\
} &=& \P{\ddx f(\sen(x^4) + \ln x) = f'(\sen(x^4) + \ln x)\ddx\P{\sen(x^4) + \ln x} } \\
\end{array}
$
\bsk
{\bf A solução}
\msk
$\begin{array}{lcl}
\ddx f(\sen(x^4) + \ln x)
&=& f'(\sen(x^4) + \ln x)\ddx\P{\sen(x^4) + \ln x} \\
&=& f'(\sen(x^4) + \ln x)\P{\ddx\sen(x^4) + \ddx\ln x} \\
&=& f'(\sen(x^4) + \ln x)\P{\cos(x^4)\ddx x^4 + \frac 1x} \\
&=& f'(\sen(x^4) + \ln x)\P{\cos(x^4)· 4x^3 + \frac 1x} \\
\end{array}
$
}\anothercol{
}}
\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 "~/2023.2-C2/")
# (find-fline "~/LATEX/2023-2-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 ~/2023.2-C2/
cp -fv $1.pdf ~/LATEX/2023-2-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=2023-2-C2-teste-niv veryclean
make -f 2019.mk STEM=2023-2-C2-teste-niv pdf
% Local Variables:
% coding: utf-8-unix
% ee-tla: "c2tn"
% ee-tla: "c2m232tn"
% End: