1. Rules for Differentiation
Chapter 3
Derivatives
Section 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
Power functions
Sum and difference rules
Product and quotient rules
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 Power Rule for Positive Integer Powers of x.

10. Rule 1-B Power Rule for Negative Integer Powers of x

11. PRACTICE

12. Rule 2 Derivative of a Constant Function
PRACTICE

13. Rule 3 The Constant Multiple Rule

14. Rule 4 The Sum and Difference Rule

15. Practice c) d)

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

17. More Practice!

18. More Practice!!!

19. Rule 5 The Product Rule

20. Example Using the Product Rule

21. Practice!!!

22. Rule 6 The Quotient Rule
Rule 6 The Quotient Rule

23. Example Using the Quotient Rule

24. Practice!!!

25. Second and Higher Order Derivatives

26. Second and Higher Order Derivatives

28. Practice

29. Applying What We Already Know

30. Quick Quiz Sections 3.1 – 3.3

31. Quick Quiz Sections 3.1 – 3.3

32. Quick Quiz Sections 3.1 – 3.3

33. Quick Quiz Sections 3.1 – 3.3

34. Quick Quiz Sections 3.1 – 3.3

35. Quick Quiz Sections 3.1 – 3.3