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.

1. Learning how
to use
derivatives
By: Dylan Brown

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. 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. Why
Olga. Newton-ISSAC-olga, Olga Shulman
Lednichenko, Lednichenko, Do We Study Calculus? 23 Aug.
Lednichenko-olga, Olgalednichenko, 2006. Web. 27 Feb. 2012.
Lednichenko-olya, Olya Lednichenko,
IMGAES AND PHOTOS OLGA
LEDNICHENKO - Copy. 2011. Photograph.
Flickr.

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. Rate of Change

6. Why do I have to learn about
it?
 Can be very helpful in physics
 Huge part of calculus
 Many professions require Calculus I

7. Definition of Derivative


8. Derivative Rules


9. Starting with the basics


10. Product Rule


11. Physics


12. Example


13. Visual Example

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. 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. 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