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For more information, please see full course syllabus of College Calculus: Level I

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Lecture Comments (10)
 0 answersPost by Nadia Ariqat on April 8, 2014very cool! you do a great jobâ€¦i've never taken calculus before and just happened to be browsing..kind of want to take the actual course now! 0 answersPost by Jose Gonzalez-Gigato on April 9, 2013Great teaching! Thanks! 2 answersLast reply by: Erika OWed Mar 13, 2013 4:10 PMPost by Erika O on March 5, 2013All of the calculus books and course material I have uses Î”x instead of h as a variable. Is there a reason that it is different here? 0 answersPost by Hanna Flanagan on September 12, 2012what about finding the derivitave of 3x^2+1 at x=-1 using this formula? 3 answersLast reply by: Angela PatrickMon Nov 25, 2013 12:40 PMPost by Moniyka Sachar on September 26, 2010It would be great if educator.com added an additional part to this sequence, about graphing derivatives and relating them to the original graph, because those can be tricky. Otherwise, thanks!

### Limit Definition of the Derivative

• Be careful in your work with - it is a function composition!
• Also take care in carrying out the subtraction ; realize we are subtracting off the entire quantity given by .
• The work here for and is famous and involves a couple famous limits.
• If you know how to compute derivatives directly, you can check your result by this means.

### Limit Definition of the Derivative

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Limit Definition of the Derivative 0:11
• Three Versions
• Lecture Example 1 1:02
• Lecture Example 2 4:33
• Lecture Example 3 6:49
• Lecture Example 4 10:11
• Additional Example 5
• Additional Example 6