2. 3.3 Rules for Differentiation

3. Quick Review In Exercises 1 – 6, write the expression as a power of x.

4. Quick Review

6. What you’ll learn about Positive Integer Powers, Multiples, Sums and Differences Products and Quotients Negative Integer Powers of x Second and Higher Order Derivatives Essential Question What are the rules to help us find derivatives of functions analytically in a more efficient way?

7. Rule 1: Derivative of a Constant Function Rule 2: Power Rule for Positive Integer Powers of x.

8. Rule 3: The Constant Multiple Rule Rule 4: The Sum and Difference Rule.

9. Example Rules for Differentiation

11. Rule 5: The Product Rule

12. Rule 6: The Quotient Rule

13. Example Rules for Differentiation At x = 0. At x = 1.

14. Rule 7: Power Rule for Negative Integer Powers of x At x = 1

15. Second and Higher Order Derivatives

17. Pg. 92, 2.4 #2-40 even