Error occured ! We are notified and will try and resolve this as soon as possible. <br>WARNING! [2] file_put_contents(/home/myedu/domains/myeducationpath.com/app/../html/cache/memory/course_18872_0_e086762d743c0218beb85ea6e1b456cae.txt): Failed to open stream: No such file or directory .  Line 75 in file /home/myedu/domains/myeducationpath.com/html/include/class.cache.php. Continue execution. 1156729; index.php; 18.223.125.219; GET; url=courses/18872/calculus-1a-differentiation.htm&; ; Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com); ; Executon time: 0<link href="/js/bootstrap_plugins/bootstrap_datetimepicker/css/bootstrap-datetimepicker.min.css" rel="stylesheet" type="text/css" />

<script src="/js/moment/moment.min.js"></script>
<script src="/js/moment/moment-with-locales.min.js"></script>
<script src="/js/bootstrap_plugins/bootstrap_datetimepicker/js/bootstrap-datetimepicker.min.js"></script>



<div class="coursefullinfo">
<a name="top" class="menutargetlink"></a>
<script type="text/javascript" src="/js/jquery.raty.min.js"></script>




<div class="courseslistitem">

	<table width="100%" border="0">
	<tr>
	<td colspan="3">
		<div class="row">
			<div class="col-md-6 col-sm-12 col-xs-12"><h3><span >Calculus 1A: Differentiation</span></h3></div>
			<div class="col-md-3 col-sm-6 col-xs-12" >
				<div class="row">
				<div class="col-xs-6 text-right" style="margin-right:0px;text-align:right;">
								<div class="ratingstar" id="rating18872" data-rating="0" ></div>
								</div>
				<div class="col-xs-6 text-left" >
				<span class="votes" id="votes18872" >0 votes</span>
				</div>
				</div>
			</div>
			<div class="col-md-3 col-sm-6 col-xs-12">
								<span class="label label-success">Free</span>				<span class="label label-warning">Closed <a href="/content/faq.htm#question_closedcourse" target="_blank" style="color:white">[?]</a></span>			</div>
		</div>
	</td>
	</tr>
	<tr >
		
	<td class="image" valign="top" rowspan="2" id="toolbar">
				<div class="courseimage">
		<img border="0" src="https://www.edx.org/sites/default/files/course/image/promoted/ap-calculus_part_1_differential_calculus_378x225.jpg" alt="Calculus 1A: Differentiation" />
		</div>
				
		<div style="clear: both;"> </div>
		<div id="coursemenudiv-wrapper">
		<div id="coursemenudiv">
		<div  class="coursetoolsbar2">
									<div class="personal" style="margin-bottom:0px;"><span class="toolbarsect" style="width:170px;" id="addtomypathspan">
								<a href="javascript:void(0)" datacourseid="18872" class="addpath">
				Add to My Path</a>
								</span>
				<span class="toolbarhelpsect"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonpath">[?]</a></span></div>
				
			<div class="personal"><span class="toolbarsect" style="width:170px;" id="addtomypassportspan">
								<a href="javascript:void(0)" datacourseid="18872" class="addpassport">Add to My Passport</a>
								</span>
				<span class="toolbarhelpsect"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonpassport">[?]</a></span></div>
						<div class="personal"><span class="toolbarsect" style="width:170px;" id="connecttoexamspan">
								<a href="javascript:void(0)" datacourseid="18872" class="addexam">Connect My Exam</a>
								</span>
				<span class="toolbarhelpsect"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonexam">[?]</a></span></div>
						<div class="coursemenuitem" style="margin-top:8px;">
				<span ><a href="#comments" class="menuitemlink">Comments <span class="itemsnumber">(0)</span></a></span></div>
			<div class="coursemenuitem">
				<span ><a href="#reviews"  class="menuitemlink">Reviews <span class="itemsnumber">(0)</span> 
					, Forum</a></span></div>
			<div class="coursemenuitem">
				<span ><a href="#alternatives"  class="menuitemlink">Alternatives <span class="itemsnumber">(0)</span></a></span></div>
			<div class="coursemenuitem">
				<span ><a href="#prerequisites"  class="menuitemlink">Prerequisites <span class="itemsnumber">(0)</span></a></span></div>
			<div class="coursemenuitem">
				<span ><a href="#paths"  class="menuitemlink">Paths <span class="itemsnumber">(0)</span></a></span></div>
						<div class="coursemenuitem">
				<span ><a href="#certification"  class="menuitemlink">Certification <span class="itemsnumber">(0)</span></a></span></div>
									<div class="coursemenuitem menuwithcontent">
				<span ><a href="#students"  class="menuitemlink">Students <span class="itemsnumber">(1)</span></a></span></div>
						<div class="coursemenuitem menuwithcontent">
				<span ><a href="#similar"  class="menuitemlink">Similar courses <span class="itemsnumber">(10)</span></a></span></div>
											</div>
		<div style="margin-top:8px;">
		 

<div style="width:210px;">
<script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>
<!-- MyEduPath course 2 -->
<ins class="adsbygoogle"
     style="display:block"
     data-ad-client="ca-pub-2164536875802568"
     data-ad-slot="5024807934"
     data-ad-format="auto"></ins>
<script>
(adsbygoogle = window.adsbygoogle || []).push({});
</script></div>


		</div>
		</div>
		</div>
	</td>
	
	<td class="coursebasicdescription" valign="top" align="left" style="padding-bottom:20px;">
		<p style="margin:0;"><p>How does the final velocity on a zip line change when the starting point is raised or lowered by a matter of centimeters?&nbsp; What is the accuracy of a GPS position measurement?&nbsp; How fast should an airplane travel to minimize fuel consumption? The answers to all of these questions involve the derivative.&nbsp;</p><br><br><p>But what is the derivative?&nbsp; You will learn its mathematical notation, physical meaning, geometric interpretation, and be able to move fluently between these representations of the derivative.&nbsp; You will discover how to differentiate any function you can think up, and develop a powerful intuition to be able to sketch the graph of many functions.&nbsp; You will make linear and quadratic approximations of functions to simplify computations and gain intuition for system behavior.&nbsp; You will learn to maximize and minimize functions to optimize properties like cost, efficiency, energy, and power.&nbsp;&nbsp;</p><br><br><p><a href="http://www.edx.org/high-school-initiative"><span itemprop="description"><span itemprop="description"><span>Learn more about our High School and AP</span></span>* Exam Preparation<span itemprop="description"><span> Courses</span></span></span></a></p><br><br><p><a href="https://www.edx.org/course/calculus-1b-integration-mitx-18-01-2x-0?utm_campaign=mitx&amp;utm_medium=partner-marketing&amp;utm_source=direct&amp;utm_content=18-01-1x-to-18-01-2x">Calculus 1B: Integration</a></p><br><br><p><a href="https://www.edx.org/course/calculus-1c-coordinate-systems-infinite-mitx-18-01-3x?utm_campaign=mitx&amp;utm_medium=partner-marketing&amp;utm_source=direct&amp;utm_content=18-01-1x-to-18-01-3x">Calculus 1C: Coordinate Systems &amp; Infinite Series</a></p><br><br><p>This course was funded in part by the Wertheimer Fund.</p><br><br><p><em>*Advanced Placement and AP are registered trademarks of the College Board, which was not involved in the production of, and does not endorse, these offerings.</em></p><br></p>
		<div class="linfo tagslist" style="margin-bottom:5px;"><span class="grayedtext">Tags:</span> 
			<span class="tag"><a href="/search/tag/+product+differentiation+and+variety.htm"> product differentiation and variety</a></span><span class="tag"><a href="/search/tag/Business.htm">Business</a></span><span class="tag"><a href="/search/tag/Nutrition.htm">Nutrition</a></span><span class="tag"><a href="/search/tag/Structural+engineering.htm">Structural engineering</a></span></div>
		<div class="linfo"><span class="grayedtext">Details:</span> <span>
		<a class="newtablink" href="https://www.edx.org/course/calculus-1a-differentiation-mitx-18-01-1x-0" target="_blank" style="color:#3C7F8C">https://www.edx.org/course/c...ferentiation-mitx-18-01-1x-0</a></span>
						<div align="right" style="float:right;margin-right:15px;" class="linfo">
				<span class="grayedtext">Language:</span>
				<span class="languagetitle">English</span>
			</div>
					</div>
		<div class="linfo categorieslist" style="margin-bottom:5px;"><span class="grayedtext">Categories:</span> 
			</div>
				
		<div class="linfo"><span class="grayedtext">Starts :</span> 
			<span class="grayedtext" style="text-decoration: line-through;">2017-06-07</span></div>	</td>
	<td valign="top" style="width:100px;text-align:center;">
		<div class="smallvendorlogo smalllogo">
			<a href="/providers/3/edX.htm" title="edX">
				<img src="/images/vendorlogo/3_small.jpg" alt="edX"></a>
		</div>
		<div style="margin-top:10px;"><a href="/providers/3/edX.htm" title="edX">edX</a></div>
	</td>
	</tr>
	<tr>
	<td colspan="2" valign="top" style="background:#f1f1f1;">
		<div class="fragment">
		<h1 class="yellow"><a name="comments" class="menutargetlink"></a>Comments </h1>
		
		<div id="disqus_thread"></div>
		
		<script>
		/**
		*/
		
		var disqus_config = function () {
			this.page.url = 'courses/18872/calculus-1a-differentiation.htm'; // Replace PAGE_URL with your page's canonical URL variable
			this.page.identifier = 'c_18872'; // Replace PAGE_IDENTIFIER with your page's unique identifier variable
		
			this.callbacks.onNewComment = [function(comment) {
				saveComment(comment);
			      //alert(comment.id);
			      //alert(comment.text);
			}];
		};
		
		(function() { // DON'T EDIT BELOW THIS LINE
		var d = document, s = d.createElement('script');
		
		s.src = '//myeducationpatmyeducationpathh.disqus.com/embed.js';
		
		s.setAttribute('data-timestamp', +new Date());
		(d.head || d.body).appendChild(s);
		})();
		</script>
		<noscript>Please enable JavaScript to view the <a href="https://disqus.com/?ref_noscript" rel="nofollow">comments powered by Disqus.</a></noscript>
				
				
	</div>
		
	<div class="fragment" style="position: relative;">
			<h1 class="yellow"><a name="reviews" class="menutargetlink"></a>Reviews</h1>
			
			<br><br>
			
						-- no reviews yet -- <a href="/courses/18872/calculus-1a-differentiation/addreview.htm" >make the first review</a>
						<div class="morelink2" >
			
			<a href="/courses/18872/calculus-1a-differentiation/addreview.htm" class="button buttonwide whitebutton middlebutton">Add review</a>
			<span class="helpbuttonspan"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonreview">[?]</a></span>
						<a style="margin-left:200px;" href="/forum/forumdisplay.php?fid=12" class="button buttonwide whitebutton middlebutton">Discuss on the Forum</a>
						</div>
			
			
						
						
		</div>
			
		<div class="fragment shortinfocourselisting">
			<h1 class="yellow"><a name="alternatives" class="menutargetlink"></a>Alternatives
			
			<div class="morelinktoright">
				<a href="/alternatives/3/edX.htm" style="font-size:16px;">All alternatives to all edX courses</a>
			</div>
			</h1>
		
						<p><center>-- no alternatives found for the course --<br> If you know any alternatives, please <a href="javascript:void(0)"  class="addalternativecourselink">let us know</a>.</center></p>
				
			<div class="morelink2" >
			<a href="javascript:void(0)"  class="addalternativecourselink button buttonwide whitebutton middlebutton">Add alternative course</a>
			
			<span class="helpbuttonspan"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonalternative">[?]</a></span>
			</div>
		</div>
	    
		<div class="fragment shortinfocourselisting">
			<h1 class="yellow"><a name="prerequisites" class="menutargetlink"></a>Prerequisites</h1>
			
						<p><center>-- no prerequsites found for the course --<br> If you can suggest any prerequisite, please <a href="javascript:void(0)"  class="addprerequisitecourselink">let us know</a>.</center></p>
						
			<div class="morelink2" >
			<a href="javascript:void(0)"  class="addprerequisitecourselink button buttonwide whitebutton middlebutton">Add prerequisite</a>
			<span class="helpbuttonspan"><a href="javascript:void(0)" class="smaller helpbutton" id="helpbuttonprerequisite">[?]</a></span>
			</div>
		</div>
		
		<div class="fragment">
			<h1 class="yellow"><a name="paths" class="menutargetlink"></a>Paths</h1>
							No <a href="/paths/">Paths</a> inclusing the course. You can <a href="/page/pathbuilder.htm">build and share</a> a path with this course included.
					</div>
				<div class="fragment">
			<h1 class="yellow"><a name="certification" class="menutargetlink"></a>Certification Exams</h1>
						-- there are no exams to get certification after this course --<br>
			If your company does certification for those who completed this course then register your company as certification vendor and add your exams to the Exams Directory. 
						<br><br>
			<div class="morelink2" >
			<a href="javascript:void(0)" datacourseid="18872" class="addexam button buttonwide whitebutton middlebutton">Add My Exams</a>
			</div>
		</div>
						<div class="fragment">
			<h1 class="yellow"><a name="students" class="menutargetlink"></a>Students </h1>
				
				<p>People who learned this course or plan to learn. These people added the course to their Education Passport or their Personal Education Path.</p>
				
								<span class="student">
				<img src="/home/myedu/domains/myeducationpath.com/app/../html/images/photos/default.jpg