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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 answers

Post by Nadia Ariqat on April 8, 2014

very cool! you do a great job…i've never taken calculus before and just happened to be browsing..kind of want to take the actual course now!

0 answers

Post by Jose Gonzalez-Gigato on April 9, 2013

Great teaching! Thanks!

2 answers

Last reply by: Erika O
Wed Mar 13, 2013 4:10 PM

Post by Erika O on March 5, 2013

All of the calculus books and course material I have uses Δx instead of h as a variable. Is there a reason that it is different here?

0 answers

Post by Hanna Flanagan on September 12, 2012

what about finding the derivitave of 3x^2+1 at x=-1 using this formula?

3 answers

Last reply by: Angela Patrick
Mon Nov 25, 2013 12:40 PM

Post by Moniyka Sachar on September 26, 2010

It would be great if added an additional part to this sequence, about graphing derivatives and relating them to the original graph, because those can be tricky. Otherwise, thanks!

Related Articles:

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