1. AP Calculus Honors Ms. Olifer
Rules for Differentiation
AP Calculus Honors Ms. Olifer

2. 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
… and why
These rules help us find derivatives of functions
analytically in a more efficient way.

3. FINALLY!!!

4. Rule 1 Derivative of a Constant Function

5. Rule 2 Power Rule for Positive Integer Powers of x.

6. Rule 3 The Constant Multiple Rule

7. Rule 4 The Sum and Difference Rule

8. Example Positive Integer Powers, Multiples, Sums, and Differences

9. Example Positive Integer Powers, Multiples, Sums, and Differences

10. Rule 5 The Product Rule

11. Example Using the Product Rule

12. Rule 6 The Quotient Rule

13. Example Using the Quotient Rule

14. Rule 7 Power Rule for Negative Integer Powers of x

15. Example Negative Integer Powers of x

16. Second and Higher Order Derivatives

17. Second and Higher Order Derivatives