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Learning howto usederivativesBy: Dylan Brown
Textbook Definition Type of Limit Slope of a tangent Velocity/Rate of  change Source: Stewart, James. "Chapter 2." Esse...
Where did derivatives come  from?                                         Calculus has been around                       ...
What are they used for?         Slope of a tangent      Can be used at any point          Helpful in physics  Applied ...
Rate of Change
Why do I have to learn aboutit?      Can be very helpful in physics         Huge part of calculus    Many professions r...
Definition of Derivative
Derivative Rules
Starting with the basics
Product Rule
Physics
Example
Visual Example
Conclusion of Derivatives            Fundamental      to calculus               Fundamental to physics            Physi...
Text Sources   Stewart, James. "Chapter 2." Essential Calculus. Belmont, CA:    Thomson Brooks/Cole, 2007. 73. Print   S...
Photo Sources   SLIDE 2: Ptwo. 122. 2009. Photograph. Flickr. (URL:    http://www.flickr.com/photos/ptwo/3164159940/)   ...
Learning how to use derivatives
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Learning how to use derivatives

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This is a PowerPoint done for my EDU290H class with Dr. William Merrill. I chose to do my PowerPoint on derivatives and how they are useful in calculus and physics.

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Transcript of "Learning how to use derivatives"

  1. 1. Learning howto usederivativesBy: Dylan Brown
  2. 2. Textbook Definition Type of Limit Slope of a tangent Velocity/Rate of change Source: Stewart, James. "Chapter 2." Essential Calculus. Belmont, CA: Thomson Brooks/Cole, 2007. 73. Print Photo Source: Ptwo. 122. 2009. Photograph. Flickr. (URL: http://www.flickr.com/photos/ptwo/3164159940/)
  3. 3. Where did derivatives come from?  Calculus has been around for centuries  Newton and Leibniz “invented” calculus  Newton’s laws of physics explained rate of change Source: Schechter, Eric. "Why Do We Study Calculus? Or, a Brief Look at Some of the History of Mathematics." Thesis.Photo Source: Lednichenko, Vanderbilt University, 2006. WhyOlga. Newton-ISSAC-olga, Olga ShulmanLednichenko, Lednichenko, Do We Study Calculus? 23 Aug.Lednichenko-olga, Olgalednichenko, 2006. Web. 27 Feb. 2012.Lednichenko-olya, Olya Lednichenko,IMGAES AND PHOTOS OLGALEDNICHENKO - Copy. 2011. Photograph.Flickr.
  4. 4. What are they used for?  Slope of a tangent  Can be used at any point  Helpful in physics  Applied to many areas of calculus
  5. 5. Rate of Change
  6. 6. Why do I have to learn aboutit?  Can be very helpful in physics  Huge part of calculus  Many professions require Calculus I
  7. 7. Definition of Derivative
  8. 8. Derivative Rules
  9. 9. Starting with the basics
  10. 10. Product Rule
  11. 11. Physics
  12. 12. Example
  13. 13. Visual Example
  14. 14. Conclusion of Derivatives  Fundamental to calculus  Fundamental to physics  Physicists “invented” calculus  Several rules make it easier There is much more to calculus than what I have showed you
  15. 15. Text Sources Stewart, James. "Chapter 2." Essential Calculus. Belmont, CA: Thomson Brooks/Cole, 2007. 73. Print Schechter, Eric. "Why Do We Study Calculus? Or, a Brief Look at Some of the History of Mathematics." Thesis. Vanderbilt University, 2006. Why Do We Study Calculus? 23 Aug. 2006. Web. 27 Feb. 2012. <http://www.math.vanderbilt.edu/~schectex/courses/whystudy.html >.
  16. 16. Photo Sources SLIDE 2: Ptwo. 122. 2009. Photograph. Flickr. (URL: http://www.flickr.com/photos/ptwo/3164159940/) SLIDE 3: Lednichenko, Olga. Newton-ISSAC-olga, Olga Shulman Lednichenko, Lednichenko, Lednichenko-olga, Olgalednichenko, Lednichenko-olya, Olya Lednichenko, IMGAES AND PHOTOS OLGA LEDNICHENKO - Copy. 2011. Photograph. Flickr. (URL: http://www.flickr.com/photos/olga-lednichenko- photos-albums-images/6417814081/) SLIDE 13: Microsoft Clip Art
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