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% (find-LATEX "2024-2-C2-DFI.tex") % (defun c () (interactive) (find-LATEXsh "lualatex -record 2024-2-C2-DFI.tex" :end)) % (defun C () (interactive) (find-LATEXsh "lualatex 2024-2-C2-DFI.tex" "Success!!!")) % (defun D () (interactive) (find-pdf-page "~/LATEX/2024-2-C2-DFI.pdf")) % (defun d () (interactive) (find-pdftools-page "~/LATEX/2024-2-C2-DFI.pdf")) % (defun e () (interactive) (find-LATEX "2024-2-C2-DFI.tex")) % (defun o () (interactive) (find-LATEX "2024-1-C2-DFI.tex")) % (defun u () (interactive) (find-latex-upload-links "2024-2-C2-DFI")) % (defun v () (interactive) (find-2a '(e) '(d))) % (defun d0 () (interactive) (find-ebuffer "2024-2-C2-DFI.pdf")) % (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g)) % (defun oe () (interactive) (find-2a '(o) '(e))) % (code-eec-LATEX "2024-2-C2-DFI") % (find-pdf-page "~/LATEX/2024-2-C2-DFI.pdf") % (find-sh0 "cp -v ~/LATEX/2024-2-C2-DFI.pdf /tmp/") % (find-sh0 "cp -v ~/LATEX/2024-2-C2-DFI.pdf /tmp/pen/") % (find-xournalpp "/tmp/2024-2-C2-DFI.pdf") % file:///home/edrx/LATEX/2024-2-C2-DFI.pdf % file:///tmp/2024-2-C2-DFI.pdf % file:///tmp/pen/2024-2-C2-DFI.pdf % http://anggtwu.net/LATEX/2024-2-C2-DFI.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 "2024-2-C2-DFI" "2" "c2m242dfi" "c2dfi") % «.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") % «.links-quadros» (to "links-quadros") % «.links-stewart» (to "links-stewart") % «.links-miranda» (to "links-miranda") % «.links-leithold» (to "links-leithold") % «.links-cederj» (to "links-cederj") \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/2024-2-C2.pdf} \def\drafturl{http://anggtwu.net/2024.2-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") \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 % _____ _ _ _ % |_ _(_) |_| | ___ _ __ __ _ __ _ ___ % | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \ % | | | | |_| | __/ | |_) | (_| | (_| | __/ % |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___| % |_| |___/ % % «title» (to ".title") % (c2m242dfip 1 "title") % (c2m242dfia "title") \thispagestyle{empty} \begin{center} \vspace*{1.2cm} {\bf \Large Cálculo 2 - 2024.2} \bsk Aula 20: derivada da função inversa \bsk Eduardo Ochs - RCN/PURO/UFF \url{http://anggtwu.net/2024.2-C2.html} \end{center} \newpage % «links» (to ".links") % (c2m242dfip 2 "links") % (c2m242dfia "links") % (c2m241dfip 2 "links") % (c2m241dfia "links") {\bf Links} \scalebox{0.6}{\def\colwidth{16cm}\firstcol{ % (c2m222strigp 4 "exercicio-2") % (c2m222striga "exercicio-2") % «links-quadros» (to ".links-quadros") % 2jQ43: (find-angg ".emacs" "c2q242" "05/11: DFI") \par Quadros: \par \Ca{2jQ43} (2024.2) 05/nov/2024 \msk % «links-stewart» (to ".links-stewart") % (find-books "__analysis/__analysis.el" "stewart-pt" "188" "3.5 Derivação Implícita") % (find-books "__analysis/__analysis.el" "stewart-pt" "192" "Trigonométricas Inversas") % (find-books "__analysis/__analysis.el" "stewart-pt" "195" "Exercício 77") % (find-books "__analysis/__analysis.el" "stewart-pt" "196" "3.6 Derivadas de Funções Logarítmicas") \par \Ca{StewPtCap3p35} (p.188) 3.5 Derivação Implícita \par \Ca{StewPtCap3p39} (p.192) Derivadas de Funções Trigonométricas Inversas \par \Ca{StewPtCap3p42} (p.195) Exercício 77 \par \Ca{StewPtCap3p43} (p.196) 3.6 Derivadas de Funções Logarítmicas \ssk % «links-miranda» (to ".links-miranda") % (find-books "__analysis/__analysis.el" "miranda" "90" "3.6 Derivada da Função Inversa") % (find-books "__analysis/__analysis.el" "miranda" "97" "4.1 Derivação Implícita") % (find-books "__analysis/__analysis.el" "miranda" "101" "4.2" "Exponencial e Logaritmo") % (find-books "__analysis/__analysis.el" "miranda" "104" "4.3" "Trigonométricas Inversas") \par \Ca{MirandaP90} 3.6 Derivada da Função Inversa \par \Ca{MirandaP97} 4.1 Derivação Implícita \par \Ca{MirandaP101} 4.2 Derivadas das Funções Exponencial e Logaritmo \par \Ca{MirandaP104} 4.3 Derivação das Funções Trigonométricas Inversas \ssk % «links-leithold» (to ".links-leithold") % (find-books "__analysis/__analysis.el" "leithold" "195" "3.8. Derivação implícita") % (find-books "__analysis/__analysis.el" "leithold" "421" "7. Funções inversas, logarítmicas e") % (find-books "__analysis/__analysis.el" "leithold" "422" "7.1. Funções inversas") % (find-books "__analysis/__analysis.el" "leithold" "431" "Exercícios 19 a 40") % (find-books "__analysis/__analysis.el" "leithold" "431" "7.2. Teoremas da função inversa e") % (find-books "__analysis/__analysis.el" "leithold" "433" "7.2.2. derivada da função inversa") % (find-books "__analysis/__analysis.el" "leithold" "496" "8.1. Funções Trigonométricas Inversas") \par \Ca{Leit3p59} (p.195) 3.8 Derivação implícita \par \Ca{Leit7p3} (p.421) 7 Funções inversas, logarítmicas e exponenciais \par \Ca{Leit7p4} (p.422) 7.1 Funções inversas \par \Ca{Leit7p13} (p.431) Exercícios 19 a 40 \par \Ca{Leit7p13} (p.431) 7.2 Teoremas da função inversa e a derivada da inversa de uma função \par \Ca{Leit7p15} (p.433) 7.2.3 Teorema: derivada da função inversa \par \Ca{Leit8p2} (p.496) 8.1. Funções Trigonométricas Inversas \ssk % «links-cederj» (to ".links-cederj") % (find-books "__analysis/__analysis.el" "cederj" "123" "13. Derivação implícita") \par \Ca{CederjC1V1p125} (p.123) 13. Derivação implícita \par \Ca{CederjC1V1p125} (p.123) $\left.\frac{dy}{dx}\right|_{x=a}$ indicará $f'(a)$ \ssk % (find-books "__analysis/__analysis.el" "cederj" "107" "27. O Teorema da função inversa") % (find-books "__analysis/__analysis.el" "cederj" "115" "28. Funções trigonométricas inversas") % (find-books "__analysis/__analysis.el" "cederj" "123" "29. Funções trigonométricas inversas. Cont") \par \Ca{CederjC1V2p109} (p.107) 27. O Teorema da função inversa \par \Ca{CederjC1V2p117} (p.115) 28. Funções trigonométricas inversas \par \Ca{CederjC1V2p125} (p.123) 29. Funções trigonométricas inversas. Continuação % (c2m232edovsp 7 "inversas-chutar-testar") % (c2m232edovsa "inversas-chutar-testar") % (find-books "__analysis/__analysis.el" "apex-calculus" "122" "2.7 Derivatives of Inverse Functions") }\anothercol{ }} \newpage \GenericWarning{Success:}{Success!!!} % Used by `M-x cv' \end{document} % (find-pdfpages2-links "~/LATEX/" "2024-2-C2-DFI") % Local Variables: % coding: utf-8-unix % ee-tla: "c2dfi" % ee-tla: "c2m242dfi" % End: