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		<id>https://minidemo.mathonline.se/index.php?action=history&amp;feed=atom&amp;title=3.3_L%C3%B6sning_2c</id>
		<title>3.3 Lösning 2c - Versionshistorik</title>
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		<updated>2026-04-09T15:34:56Z</updated>
		<subtitle>Versionshistorik för denna sida på wikin</subtitle>
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	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=3.3_L%C3%B6sning_2c&amp;diff=28679&amp;oldid=prev</id>
		<title>Taifun den 14 februari 2020 kl. 15.13</title>
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				<updated>2020-02-14T15:13:19Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Versionen från 14 februari 2020 kl. 15.13&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;:&lt;/del&gt;&amp;lt;math&amp;gt;\begin{array}{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;rcl&lt;/del&gt;} &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;f(&lt;/del&gt;x&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;)&amp;#160; &lt;/del&gt;&amp;amp; = &amp;amp; 2\,x&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;^3 &lt;/del&gt;- &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;5&amp;#160; &lt;/del&gt;\\&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\begin{array}{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;rclcl&lt;/ins&gt;} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;2\,&lt;/ins&gt;x &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\, + \, 12 &lt;/ins&gt;&amp;amp; = &amp;amp; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;18&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;amp; \qquad | &amp;amp; - \, 12 \\&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; f'(&lt;/del&gt;x&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;) &lt;/del&gt;&amp;amp; = &amp;amp; 6\,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x^&lt;/del&gt;2 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160;  &lt;/del&gt;\\ &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &lt;/ins&gt;2\,x &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\, + \, 12 \,&lt;/ins&gt;- &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\, 12 \, &amp;amp; = &amp;amp; 18 \, - \, 12 \,&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;amp;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;amp;&amp;#160; &amp;#160; &amp;#160; &amp;#160;  &lt;/ins&gt;\\&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  f''(&lt;/del&gt;x&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;) &lt;/del&gt;&amp;amp; = &amp;amp; &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;12&lt;/del&gt;\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;,x&amp;#160; &amp;#160; &amp;#160;  &lt;/del&gt;\\&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; 2\,&lt;/ins&gt;x &amp;amp; = &amp;amp; 6 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;amp; \qquad | &amp;amp; / &lt;/ins&gt;\, 2 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/ins&gt;\\&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  f''(0) &lt;/del&gt;&amp;amp; = &amp;amp; &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;12 \cdot 0 = 0 &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; \displaystyle \frac{2\,&lt;/ins&gt;x&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;}{2} &lt;/ins&gt;&amp;amp; = &amp;amp; \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;displaystyle &lt;/ins&gt;\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;frac{6}{2} &amp;amp;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;amp;&amp;#160; &amp;#160; &amp;#160; &amp;#160;  &lt;/ins&gt;\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160;  &lt;/del&gt;\end{array}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  x &lt;/ins&gt;&amp;amp; = &amp;amp; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;3&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &lt;/ins&gt;\end{array}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=3.3_L%C3%B6sning_2c&amp;diff=19747&amp;oldid=prev</id>
		<title>Taifun: Skapade sidan med ':&lt;math&gt;\begin{array}{rcl} f(x)  &amp; = &amp; 2\,x^3 - 5  \\                           f'(x) &amp; = &amp; 6\,x^2      \\                           f''(x) &amp; = &amp; 12\,x       \\...'</title>
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				<updated>2014-12-31T13:43:36Z</updated>
		
		<summary type="html">&lt;p&gt;Skapade sidan med &amp;#039;:&amp;lt;math&amp;gt;\begin{array}{rcl} f(x)  &amp;amp; = &amp;amp; 2\,x^3 - 5  \\                           f&amp;#039;(x) &amp;amp; = &amp;amp; 6\,x^2      \\                           f&amp;#039;&amp;#039;(x) &amp;amp; = &amp;amp; 12\,x       \\...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Ny sida&lt;/b&gt;&lt;/p&gt;&lt;div&gt;:&amp;lt;math&amp;gt;\begin{array}{rcl} f(x)  &amp;amp; = &amp;amp; 2\,x^3 - 5  \\&lt;br /&gt;
                          f'(x) &amp;amp; = &amp;amp; 6\,x^2      \\ &lt;br /&gt;
                         f''(x) &amp;amp; = &amp;amp; 12\,x       \\&lt;br /&gt;
                         f''(0) &amp;amp; = &amp;amp; 12 \cdot 0 = 0 &lt;br /&gt;
       \end{array}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

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