2. 3.3 Rules for Differentiation Objectives Students will be able to: 1) Use the rules of differentiation to calculate derivatives, including second and higher order derivatives 2) Use the derivative to calculate the instantaneous rate of change

3. When we have a function, we can find its’ derivative by applying the definition of derivative: Let’s refresh our memories by looking an example on the next slide.

5. Fortunately, there are derivative rules that exist to help make this process easier. The rule that would be used for this example is the Power Rule.

7. Here are the first four rules explained: http://www.chaoticgolf.com/vodcasts/calc/les son3_3_part1/lesson3_3_part1.html http://www.chaoticgolf.com/vodcasts/calc/les son3_3_part1/lesson3_3_part1.html

8. Here is a recap of those four rules:

9. Now let’s try some problems!

10. Product Rule, Quotient Rule, and Higher Order Derivatives Super fun video on derivatives

11. Recap of those rules: