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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2025-1-C2-S-tests.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2025-1-C2-S-tests.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2025-1-C2-S-tests.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2025-1-C2-S-tests.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2025-1-C2-S-tests.pdf"))
% (defun e () (interactive) (find-LATEX "2025-1-C2-S-tests.tex"))
% (defun o () (interactive) (find-LATEX "2025-1-C2-S-tests.tex"))
% (defun u () (interactive) (find-latex-upload-links "2025-1-C2-S-tests"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2025-1-C2-S-tests.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (defun oe () (interactive) (find-2a '(o) '(e)))
% (code-eec-LATEX "2025-1-C2-S-tests")
% (find-pdf-page "~/LATEX/2025-1-C2-S-tests.pdf")
% (find-sh0 "cp -v ~/LATEX/2025-1-C2-S-tests.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2025-1-C2-S-tests.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2025-1-C2-S-tests.pdf")
% file:///home/edrx/LATEX/2025-1-C2-S-tests.pdf
% file:///tmp/2025-1-C2-S-tests.pdf
% file:///tmp/pen/2025-1-C2-S-tests.pdf
% http://anggtwu.net/LATEX/2025-1-C2-S-tests.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 "2025-1-C2-S-tests" "2" "c2m251st" "c2st")
% «.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-S» (to "defs-S")
% «.title» (to "title")
% «.links» (to "links")
% «.TFC2» (to "TFC2")
% «.DefDeriv» (to "DefDeriv")
% «.DFI» (to "DFI")
% «.MV» (to "MV")
% «.EDOVS» (to "EDOVS")
% «.Aipim» (to "Aipim")
% «.chain-rule-red» (to "chain-rule-red")
% «.tictactoe» (to "tictactoe")
% «.more-than-9-args» (to "more-than-9-args")
\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")
%
% (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/2025-1-C2.pdf}
\def\drafturl{http://anggtwu.net/2025.1-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-S» (to ".defs-S")
\input 2025-1-C2-S-defs.tex % (find-LATEX "2025-1-C2-S-defs.tex")
% _____ _ _ _
% |_ _(_) |_| | ___ _ __ __ _ __ _ ___
% | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
% | | | | |_| | __/ | |_) | (_| | (_| | __/
% |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
% |_| |___/
%
% «title» (to ".title")
% (c2m251stp 1 "title")
% (c2m251sta "title")
\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo 2 - 2025.1}
\bsk
Aula nn: ponha o título aqui
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://anggtwu.net/2025.1-C2.html}
\end{center}
\newpage
% «links» (to ".links")
% (c2m251stp 2 "links")
% (c2m251sta "links")
{\bf Links}
\scalebox{0.6}{\def\colwidth{16cm}\firstcol{
}\anothercol{
}}
\newpage
% «TFC2» (to ".TFC2")
% (c2m251stp 3 "TFC2")
% (c2m251sta "TFC2")
% (c2m251sda "TFC2")
% (find-angg "MAXIMA/2025-1-s.mac" "TFC2")
% «DefDeriv» (to ".DefDeriv")
% (c2m251stp 3 "DefDeriv")
% (c2m251sta "DefDeriv")
% (c2m251sda "DefDeriv")
% 2kT63: (c2m251tnp 4 "defs-DD")
% (c2m251tna "defs-DD")
% 2kT85: (c2m251justp 4 "example-6")
% (c2m251justa "example-6")
\scalebox{0.5}{\def\colwidth{9cm}\firstcol{
$\begin{array}{rcl}
\ga{[DefDif]} &=& \ga{(DefDif)} \\ \\[-10pt]
\ga{[TFC2]} &=& \ga{(TFC2)} \\ \\[-10pt]
\ga{[II]} &=& \ga{(II)} \\ \\[-10pt]
\ga{[DefAt]} &=& \ga{(DefAt)} \\ \\[-10pt]
\ga{[DD1]} &=& \ga{(DD1)} \\ \\[-10pt]
\ga{[DD2]} &=& \ga{(DD2)} \\ \\[-10pt]
\ga{[DefDeriv1]} &=& \ga{(DefDeriv1)} \\ \\[-10pt]
\ga{[DefDeriv2]} &=& \ga{(DefDeriv2)} \\ \\[-10pt]
\ga{[RDC]} &=& \ga{(RDC)} \\ \\[-10pt]
\ga{[RMC]} &=& \ga{(RMC)} \\ \\[-10pt]
\ga{[RPot]} &=& \ga{(RPot)} \\ \\[-10pt]
\ga{[RSoma]} &=& \ga{(RSoma)} \\ \\[-10pt]
\ga{[RProd]} &=& \ga{(RProd)} \\ \\[-10pt]
\ga{[RC]} &=& \ga{(RC)} \\ \\[-10pt]
\end{array}
$
}\anothercol{
}}
\newpage
% «DFI» (to ".DFI")
% (c2m251sda "DFI")
% 2kT122: (c2m251fpp 4 "1-sobre-x")
% (c2m251fpa "1-sobre-x")
\scalebox{0.5}{\def\colwidth{9cm}\firstcol{
$\begin{array}{rcl}
\ga{[DFI]} &=& \ga{(DFI)} \\ \\[-10pt]
\end{array}
$
}\anothercol{
}}
\newpage
% «MV» (to ".MV")
% (c2m251dia "defs-mvdefs")
% (c2m251mva "defs-mv")
% (c2m251sda "MV-defaults")
% (c2m251sda "MV")
\scalebox{0.5}{\def\colwidth{9cm}\firstcol{
$\begin{array}{rcl}
\ga{[MVD4]} &=& \ga{(MVD4)} \\ \\[-10pt]
\ga{[MVD1]} &=& \ga{(MVD1)} \\ \\[-10pt]
\ga{[MVI3]} &=& \ga{(MVI3)} \\ \\[-10pt]
\ga{[MVI1]} &=& \ga{(MVI1)} \\ \\[-10pt]
\ga{[MVD4]}? &=& \sa{a}{\ColorRed{a}}
\ga{(MVD4)}
\\ \\[-10pt]
\end{array}
$
}\anothercol{
}}
\newpage
% «EDOVS» (to ".EDOVS")
% (c2m251p2a "defs-edovs")
% (c2m251p2a "defs-edoexs")
% (c2m251edovsa "defs-edovs")
\scalebox{0.5}{\def\colwidth{9cm}\firstcol{
$\begin{array}{rcl}
\ga{[M]} &=& \ga{(M)} \\ \\[-10pt]
\end{array}
$
}\anothercol{
}}
\newpage
% «Aipim» (to ".Aipim")
% (c2m251stp 7 "Aipim")
% (c2m251sda "Aipim")
\scalebox{0.6}{\def\colwidth{9cm}\firstcol{
$\begin{array}{lcl}
\ga{[Aipim]} &=& \ga{(Aipim)} \\ \\[-10pt]
\ga{[Aipim]} \bmat{a:=3 \\ b:=4} &=& \ga{(Aipim34)} \\ \\[-5pt]
&& \ga{Aipim u} \\ \\[-10pt]
\end{array}
$
}\anothercol{
}}
\newpage
% «chain-rule-red» (to ".chain-rule-red")
% (c2m251stp 8 "chain-rule-red")
% (c2m251sta "chain-rule-red")
% (c2m251sda "chain-rule-red")
$$\ga{Chain rule (Stewart p.150)}$$
$$\ga{Regra da cadeia (Stewart p.181)}$$
\newpage
% «tictactoe» (to ".tictactoe")
% (c2m251stp 9 "tictactoe")
% (c2m251sta "tictactoe")
% (c2m251sda "tictactoe")
\def\TTT{\tictactoe}
\scalebox{0.6}{\def\colwidth{9cm}\firstcol{
$$\mat{
\TTT ..o .x. o.. & \TTT X.o .x. o.. & \TTT x.o .x. o.O & \TTT x.o .xX o.o
& \TTT x.o .xx OOO \\\\[-2pt]
& \TTT .Xo .x. o.. & \TTT .xo .x. oO. & \TTT .xo .x. ooX
& \TTT Oxo .x. oox & \TTT oxo Xx. oox & \TTT oxo xxO oox \\\\[-2pt]
}
$$
}\anothercol{
}}
\newpage
% (find-LATEX "edrx21.sty" "sa-and-ga")
% (find-LATEX "edrx21.sty" "defvbt")
% «more-than-9-args» (to ".more-than-9-args")
% (find-es "tex" "more-than-9-args")
% (find-es "tex" "more-than-9-args-old")
% (find-LATEX "edrx21.sty" "sa-and-ga")
% (find-LATEX "edrx21chars.tex")
% (find-es "tex" "sa-and-ga-if")
%\def\ifgaundefined#1{%
$\ga{p}{1}{abc}
\sa{p.2.}{box}
\ga{p}{2}{def}
$
$
\ga{=}{123}
\sa{=.123.}{foo}
\ga{=}{123}
$
\newpage
% 2kT85: (c2m251justp 4 "example-6")
% (c2m251justa "example-6")
\def\veja#1{\text{Veja \Ca{#1}}}
\def\porcom#1#2{\text{Por \ga{#1} com $#2$}}
\sa{example 6: body}{
F(x) &\ga{=}{1}& (6x^3)(7x^4) \\
F'(x) &\ga{=}{2}& \ga{p}{2}{((6x^3)(7x^4))'} \\
&\ga{=}{3}& \ga{p}{3}{\ddx((6x^3)(7x^4))} \\
&\ga{=}{4}& \ga{p}{4}{(6x^3)\ddx(7x^4) + (7x^4)\ga{p}{4b}{\ddx(6x^3)}} & \ga{just 4} \\
&\ga{=}{5}& (6x^3)\ddx(7x^4) + (7x^4)·\ga{p}{5}{6\ga{p}{5b}{\ddx x^3}} & \ga{just 5} \\
&\ga{=}{6}& (6x^3)\ddx(7x^4) + (7x^4)·6·\ga{p}{6}{3 x^2} & \ga{just 6} \\
&\ga{=}{7}& (6x^3)\ddx(7x^4) + (7x^4)(18x^2) \\
&\ga{=}{8}& (6x^3)·7\ddx x^4 + (7x^4)(18x^2) & \ga{just 7} \\
&\ga{=}{9}& (6x^3)·7·4x^3 + (7x^4)(18x^2) & \ga{just 8} \\
&\ga{=}{10}& (6x^3)(28x^3) + (7x^4)(18x^2) \\
&\ga{=}{11}& (6x^3)(28x^3) + 126x^6 \\
&\ga{=}{12}& 168x^6 + 126x^6 \\
&\ga{=}{13}& 294x^6 \\
}
\sa{example 6}{
\begin{array}{rcll}
\ga{example 6: body}
\end{array}
}
$$\sa{=.1.}{foo}
\sa{=.12.}{foo}
\sa{p.5b.}{foo}
\sa{p.6.}{foo}
\sa{eq after 1}{=_{\ga{1}}}
\ga{example 6}
$$
%\Saeq{foo}{bar}
%\Gaeq{eq-foo}
%\gaeq{foo}
% (c2m251fpa "defs-fracoes-parciais")
% (c2m232edolsp 3 "defs-bodies")
% (c2m232edolsa "defs-bodies")
% (c2m251edosexatasa "defs-edoexs")
% 2kT152: (c2m251mvp 4 "um-exemplo")
% (c2m251mva "um-exemplo")
% 2kT158: (c2m251mvp 10 "caso-1-MVD")
% (c2m251mva "caso-1-MVD")
\GenericWarning{Success:}{Success!!!} % Used by `M-x cv'
\end{document}
% (find-pdfpages2-links "~/LATEX/" "2025-1-C2-S-tests")
% Local Variables:
% coding: utf-8-unix
% ee-tla: "c2st"
% ee-tla: "c2m251st"
% End: