http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?action=history&feed=atom&title=Fun%C3%A7%C3%A3o_composta 2026-07-05T19:29:09Z Histórico de edições para esta página nesta wiki MediaWiki 1.35.2 http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Fun%C3%A7%C3%A3o_composta&diff=2481&oldid=prev 2016-11-11T17:16:31Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 17h16min de 11 de novembro de 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17" >Linha 17:</td> <td colspan="2" class="diff-lineno">Linha 17:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Considere-se a função \(f\) definida por \(\text{f}(x)=<del class="diffchange diffchange-inline">\log_e(</del>\text{sen}(<del class="diffchange diffchange-inline">x</del>+<del class="diffchange diffchange-inline">2</del>))\) no respetivo domínio. A função derivada de \(f\) é, no respetivo domínio, definida por:</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Considere-se a função \(f\) definida por \(\text{f}(x)=<ins class="diffchange diffchange-inline">-2</ins>\text{sen}(<ins class="diffchange diffchange-inline">2\cos(2x</ins>+<ins class="diffchange diffchange-inline">1</ins>))\) no respetivo domínio. A função derivada de \(f\) é, no respetivo domínio, definida por:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">A) \(\text{f'}(x)=\frac{1}{\text{sen}(x+2)}\),</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">B</del>) \(\text{f'}(x)=\<del class="diffchange diffchange-inline">frac{</del>\cos(x<del class="diffchange diffchange-inline">+2</del>)<del class="diffchange diffchange-inline">}{</del>\text{sen}(x<del class="diffchange diffchange-inline">+2</del>)<del class="diffchange diffchange-inline">}</del>\),</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">A</ins>) \(\text{f'}(x)=<ins class="diffchange diffchange-inline">-8</ins>\<ins class="diffchange diffchange-inline">cos(2</ins>\cos(x)<ins class="diffchange diffchange-inline">)</ins>\text{sen}(x)\),</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>C) \(\text{f'}(x)=-1\),</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">B) \(\text{f'}(x)=-8\text{sen}(2\text{sen}(2x+1))\),</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>C) \(\text{f'}(x)=-<ins class="diffchange diffchange-inline">8\cos(2x+</ins>1<ins class="diffchange diffchange-inline">)\text{sen}(2\text{sen}(2x+1))</ins>\),</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">D) \(\text{f'}(x)=8\cos(2\cos(2x+1))\text{sen}(2x+1)\)</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">D) \(\text{f'}(x)=\frac{1}{\text{sen}(x+2)}\),</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> </table>

Ist178052 http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Fun%C3%A7%C3%A3o_composta&diff=2475&oldid=prev 2016-11-11T09:45:20Z

<p>Criou a página com &quot;&lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:420px&quot;&gt; &#039;&#039;&#039;Metadata&#039;&#039;&#039; &lt;div class=&quot;mw-collapsible-content&quot;&gt; *CONTEXTO : Primeiro ciclo universitário *AREA:...&quot;</p> <p><b>Página nova</b></p><div>&lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:420px&quot;&gt;<br /> '''Metadata'''<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *CONTEXTO : Primeiro ciclo universitário<br /> *AREA: Matemática<br /> *DISCIPLINA: Calculo diferencial e integral 1<br /> *ANO: 1<br /> *LINGUA: pt<br /> *AUTOR: Ana Moura Santos e Miguel Dziergwa<br /> *MATERIA PRINCIPAL: <br /> *DESCRICAO: <br /> *DIFICULDADE: <br /> *TEMPO MEDIO DE RESOLUCAO: 10 mn<br /> *TEMPO MAXIMO DE RESOLUCAO: 15 mn<br /> *PALAVRAS CHAVE: <br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> Considere-se a função \(f\) definida por \(\text{f}(x)=\log_e(\text{sen}(x+2))\) no respetivo domínio. A função derivada de \(f\) é, no respetivo domínio, definida por:<br /> <br /> A) \(\text{f'}(x)=\frac{1}{\text{sen}(x+2)}\),<br /> <br /> B) \(\text{f'}(x)=\frac{\cos(x+2)}{\text{sen}(x+2)}\),<br /> <br /> C) \(\text{f'}(x)=-1\),<br /> <br /> D) \(\text{f'}(x)=\frac{1}{\text{sen}(x+2)}\),<br /> <br /> <br /> Para obter o zip que contém as instâncias deste exercício clique aqui(derivComposta)<br /> <br /> Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div>

Ist178052