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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2025-2-C2-regra-da-cadeia.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2025-2-C2-regra-da-cadeia.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2025-2-C2-regra-da-cadeia.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2025-2-C2-regra-da-cadeia.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2025-2-C2-regra-da-cadeia.pdf"))
% (defun e () (interactive) (find-LATEX "2025-2-C2-regra-da-cadeia.tex"))
% (defun o () (interactive) (find-LATEX "2025-2-C2-regra-da-cadeia.tex"))
% (defun u () (interactive) (find-latex-upload-links "2025-2-C2-regra-da-cadeia"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2025-2-C2-regra-da-cadeia.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (defun oe () (interactive) (find-2a '(o) '(e)))
% (code-eec-LATEX "2025-2-C2-regra-da-cadeia")
% (find-pdf-page "~/LATEX/2025-2-C2-regra-da-cadeia.pdf")
% (find-sh0 "cp -v ~/LATEX/2025-2-C2-regra-da-cadeia.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2025-2-C2-regra-da-cadeia.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2025-2-C2-regra-da-cadeia.pdf")
% file:///home/edrx/LATEX/2025-2-C2-regra-da-cadeia.pdf
% file:///tmp/2025-2-C2-regra-da-cadeia.pdf
% file:///tmp/pen/2025-2-C2-regra-da-cadeia.pdf
% http://anggtwu.net/LATEX/2025-2-C2-regra-da-cadeia.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-regra-da-cadeia" "2" "c2m252rcadeia" "c2rc")
% «.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")
% «.title» (to "title")
% «.links» (to "links")
\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/2025-2-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")
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\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
% _____ _ _ _
% |_ _(_) |_| | ___ _ __ __ _ __ _ ___
% | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
% | | | | |_| | __/ | |_) | (_| | (_| | __/
% |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
% |_| |___/
%
% «title» (to ".title")
% (c2m252rcadeiap 1 "title")
% (c2m252rcadeiaa "title")
\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo 2 - 2025.2}
\bsk
Aula nn: a regra da cadeia
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://anggtwu.net/2025.2-C2.html}
\end{center}
\newpage
% «links» (to ".links")
% (c2m252rcadeiap 2 "links")
% (c2m252rcadeiaa "links")
{\bf Links}
\scalebox{0.6}{\def\colwidth{16cm}\firstcol{
% (c2m251exsubstp 2 "links-RC")
% (c2m251exsubsta "links-RC")
% (find-cederjc1v1page (+ 2 114) "Proposição 12.1 (regra da cadeia)")
}\anothercol{
}}
\newpage
\scalebox{0.6}{\def\colwidth{9cm}\firstcol{
$$\begin{array}{lrcl}
\text{Sejam:} & f(x) &=& \sen(p(x)), \\
& f_1(x) &=& \sen(x), \\
& f_2(x) &=& p(x). \\
\text{Então:} & f(x) &=& (f_1∘f_2)(x), \\
& f_1'(x) &=& \cos(x), \\
& f_2'(x) &=& p'(x), \\
& f'(x) &=& (f_1∘f_2)'(x) \\
& &=& f_1'(f_2(x))f_2'(x) \\
& &=& \cos(p(x))p'(x). \\
\end{array}
$$
}\anothercol{
}}
\GenericWarning{Success:}{Success!!!} % Used by `M-x cv'
\end{document}
% (find-pdfpages2-links "~/LATEX/" "2025-2-C2-regra-da-cadeia")
% Local Variables:
% coding: utf-8-unix
% ee-tla: "c2rc"
% ee-tla: "c2m252rcadeia"
% End: