1. Rules for Differentiation
3.3
Rules for Differentiation

2. Quick Review

3. Quick Review

4. Quick Review

5. Quick Review Solutions

6. Quick Review Solutions

7. Quick Review Solutions

8. 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.

9. Rule 1 Derivative of a Constant Function

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

11. Rule 3 The Constant Multiple Rule

12. Rule 4 The Sum and Difference Rule

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

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

15. Rule 5 The Product Rule

16. Example Using the Product Rule

17. Rule 6 The Quotient Rule

18. Example Using the Quotient Rule

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

20. Example Negative Integer Powers of x

21. Second and Higher Order Derivatives

22. Second and Higher Order Derivatives

23. Quick Quiz Sections 3.1 – 3.3

24. Quick Quiz Sections 3.1 – 3.3

25. Quick Quiz Sections 3.1 – 3.3

26. Quick Quiz Sections 3.1 – 3.3

27. Quick Quiz Sections 3.1 – 3.3

28. Quick Quiz Sections 3.1 – 3.3