https://wiki.mattekollen.se/index.php?action=history&feed=atom&title=2.4_L%C3%B6sning_4b 2026-11-05T09:44:37Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://wiki.mattekollen.se/index.php?title=2.4_L%C3%B6sning_4b&diff=16374&oldid=prev 2014-10-18T10:56:10Z

<p></p> <p><b>Ny sida</b></p><div>:&lt;math&gt; y = {x^2\,\sqrt{x}\over 5} = {1 \over 5}\cdot x^2\,\sqrt{x} = {1 \over 5}\cdot x^2\cdot x^{1 \over 2} = {1 \over 5}\cdot x^{2+{1 \over 2}} = {1 \over 5}\cdot x^{5 \over 2} &lt;/math&gt;<br /> <br /> :&lt;math&gt; y\,' = {5 \over 2}\cdot {1 \over 5}\cdot x^{{5 \over 2}-1} = {1 \over 2}\cdot x^{3 \over 2} = {1 \over 2}\cdot \sqrt{x^3} = {1 \over 2}\cdot x\,\sqrt{x} = {x\,\sqrt{x}\over 2} &lt;/math&gt;</div>

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