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	<title>singaporeolevelmaths &#187; quotient rule</title>
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		<title>A-Math: Differentiation Shortcut Lies In Pausing &amp; Simplifying</title>
		<link>http://www.singaporeolevelmaths.com/2010/01/28/a-math-differentiation-shortcut-lies-in-pausing-simplifying/</link>
		<comments>http://www.singaporeolevelmaths.com/2010/01/28/a-math-differentiation-shortcut-lies-in-pausing-simplifying/#comments</comments>
		<pubDate>Thu, 28 Jan 2010 08:42:14 +0000</pubDate>
		<dc:creator>alwaysLovely</dc:creator>
				<category><![CDATA[A-Math]]></category>
		<category><![CDATA[chain rule]]></category>
		<category><![CDATA[differentiation]]></category>
		<category><![CDATA[quotient rule]]></category>
		<category><![CDATA[shortcut]]></category>

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		<description><![CDATA[Differentiation is a big thing in fact major chapter for all Secondary 4 &#8216;O&#8217; level students.
Read all about the basics Differentiation techniques here. (Examples included)  I would like to share one question from my A-Math Ultimate Leap Programme (weekly coaching class) which has 2 different approaches to solve it.
Example:

Very often, I notice students will [...]]]></description>
			<content:encoded><![CDATA[<p>Differentiation is a big thing in fact major chapter for all Secondary 4 &#8216;O&#8217; level students.</p>
<p>Read all about the basics Differentiation techniques <a href="http://www.singaporeolevelmaths.com/2008/01/31/differentiation-basic-techniques/" target="_blank">here</a>. (Examples included)  I would like to share one question from my <a href="http://www.winnerseducation.com" target="_blank">A-Math Ultimate Leap Programme </a>(weekly coaching class) which has 2 different approaches to solve it.</p>
<h2><span style="color: #ff6600;"><strong>Example:</strong></span></h2>
<p style="text-align: left;"><span style="color: #ff6600;"><strong><a href="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/differentiation-qn.PNG" rel="lightbox[1782]"><img class="alignnone size-full wp-image-1779" title="differentiation-qn" src="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/differentiation-qn.PNG" alt="differentiation-qn" width="288" height="82" /></a></strong></span></p>
<p style="text-align: left;">Very often, I notice students will jump into <strong>Quotient rule</strong> whenever a <strong>fraction</strong> is given. Just like this student here:</p>
<p style="text-align: left;"><a href="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/differentiation-qn-quotient-rule.PNG" rel="lightbox[1782]"><img class="alignnone size-full wp-image-1780" title="differentiation-qn-quotient-rule" src="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/differentiation-qn-quotient-rule.PNG" alt="differentiation-qn-quotient-rule" width="390" height="416" /></a></p>
<p style="text-align: left;">May I suggest that you pause for 3 seconds to think about the approach. Ask yourself<strong> &#8216;Is there anything I can simplify?&#8217; </strong></p>
<p style="text-align: left;">Here&#8217;s another student who pauses:</p>
<p style="text-align: left;"><a href="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/differentiation-qn-simplified.PNG" rel="lightbox[1782]"><img title="differentiation-qn-simplified" src="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/differentiation-qn-simplified.PNG" alt="differentiation-qn-simplified" width="311" height="359" /></a></p>
<p style="text-align: left;">Notice this student spends his time simplifying before applying chain rule in differentiation.</p>
<p style="text-align: left;">I hope you enjoy this example. Both students are correct in their answers, which one do you prefer more? A or B?</p>
<p style="text-align: left;">
<p><strong>Related Articles:</strong>
<ul class="similar-posts">
<li><a href="http://www.singaporeolevelmaths.com/2008/06/24/integration-mixed-with-differentiation/" rel="bookmark" title="June 24, 2008">Integration Mixed With Differentiation</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2008/01/31/differentiation-basic-techniques/" rel="bookmark" title="January 31, 2008">Differentiation Basic Techniques</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2010/02/18/a-math-type-of-stationary-point-through-first-derivative/" rel="bookmark" title="February 18, 2010">A-Math: Type of Stationary Point through First Derivative</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2007/09/25/application-of-differentiation-maximumminimum-rate-of-change/" rel="bookmark" title="September 25, 2007">Application of Differentiation &#8211; Maximum/Minimum &amp; Rate of Change</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2009/02/26/o-level-a-math-collection-of-differentiation-tips/" rel="bookmark" title="February 26, 2009">O level A-Math: Collection of Differentiation Tips</a></li>
</ul>
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