http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?title=Svar_%C3%96vning_7.5.3&action=history Versionshistorik för denna sida på wikin sv MediaWiki 1.11.1 Fri, 22 May 2026 05:47:13 GMT http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?title=Svar_%C3%96vning_7.5.3&diff=449&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 8 juli 2013 kl. 16.26</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 6:</td> <td colspan="2" class="diff-lineno">Rad 6:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>c)</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>c)</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f= <del style="color: red; font-weight: bold; text-decoration: none;">(</del>\frac{1}{|\mathbf{x}|}<del style="color: red; font-weight: bold; text-decoration: none;">-\frac{(x_1+x_2+x_3)x_1}{|</del>\mathbf{<del style="color: red; font-weight: bold; text-decoration: none;">x}|^3}, \frac{1}{|\mathbf{x}|</del>}-\frac{<del style="color: red; font-weight: bold; text-decoration: none;">(</del>x_1<del style="color: red; font-weight: bold; text-decoration: none;">+x_2+x_3)x_2</del>}{|\mathbf{x}|^3}<del style="color: red; font-weight: bold; text-decoration: none;">,\ \frac{1}{|</del>\mathbf{x}<del style="color: red; font-weight: bold; text-decoration: none;">|}-\frac{(x_1+x_2+x_3)x_3}{|\mathbf{x}|^3})</del>&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f= </div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\frac{1}{|\mathbf{x}|}\mathbf{<ins style="color: red; font-weight: bold; text-decoration: none;">e</ins>}<ins style="color: red; font-weight: bold; text-decoration: none;">_x</ins>-\frac{x_1}{|\mathbf{x}|^3}\mathbf{x}</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;/math&gt;</div></td></tr> </table> Mon, 08 Jul 2013 16:26:04 GMT Olosv http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php/Diskussion:Svar_%C3%96vning_7.5.3 http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?title=Svar_%C3%96vning_7.5.3&diff=447&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 8 juli 2013 kl. 14.17</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 6:</td> <td colspan="2" class="diff-lineno">Rad 6:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>c)</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>c)</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f= (\frac{1}{|\mathbf{x}|}-\frac{(x_1+x_2+x_3)x_1}{|\mathbf{x}|^3}&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f= (\frac{1}{|\mathbf{x}|}-\frac{(x_1+x_2+x_3)x_1}{|\mathbf{x}|^3}<ins style="color: red; font-weight: bold; text-decoration: none;">, \frac{1}{|\mathbf{x}|}-\frac{(x_1+x_2+x_3)x_2}{|\mathbf{x}|^3},\ \frac{1}{|\mathbf{x}|}-\frac{(x_1+x_2+x_3)x_3}{|\mathbf{x}|^3})</ins>&lt;/math&gt;</div></td></tr> </table> Mon, 08 Jul 2013 14:17:43 GMT Olosv http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php/Diskussion:Svar_%C3%96vning_7.5.3 http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?title=Svar_%C3%96vning_7.5.3&diff=446&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 8 juli 2013 kl. 14.16</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 6:</td> <td colspan="2" class="diff-lineno">Rad 6:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>c)</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>c)</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f= \frac{1{|\mathbf{x}|}-\frac{x_1+x_2+x_3}{|\mathbf{x}|^3}&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f= <ins style="color: red; font-weight: bold; text-decoration: none;">(</ins>\frac{1<ins style="color: red; font-weight: bold; text-decoration: none;">}</ins>{|\mathbf{x}|}-\frac{<ins style="color: red; font-weight: bold; text-decoration: none;">(</ins>x_1+x_2+x_3<ins style="color: red; font-weight: bold; text-decoration: none;">)x_1</ins>}{|\mathbf{x}|^3}&lt;/math&gt;</div></td></tr> </table> Mon, 08 Jul 2013 14:16:55 GMT Olosv http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php/Diskussion:Svar_%C3%96vning_7.5.3 http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?title=Svar_%C3%96vning_7.5.3&diff=445&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 8 juli 2013 kl. 14.13</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>a)</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>a)</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f=\mathbf{a}&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f=\mathbf{a}&lt;/math&gt;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>b)</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f=\frac{\mathbf{x}}{|\mathbf{x}|}&lt;/math&gt;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>c)</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&lt;math&gt;\nabla f= \frac{1{|\mathbf{x}|}-\frac{x_1+x_2+x_3}{|\mathbf{x}|^3}&lt;/math&gt;</div></td></tr> </table> Mon, 08 Jul 2013 14:13:53 GMT Olosv http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php/Diskussion:Svar_%C3%96vning_7.5.3 http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?title=Svar_%C3%96vning_7.5.3&diff=444&oldid=prev <p>Ny sida: a) &lt;math&gt;\nabla f=\mathbf{a}&lt;/math&gt;</p> <p><b>Ny sida</b></p><div>a)<br /> &lt;math&gt;\nabla f=\mathbf{a}&lt;/math&gt;</div> Mon, 08 Jul 2013 13:05:47 GMT Olosv http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php/Diskussion:Svar_%C3%96vning_7.5.3