1. 3.2 & 3.3

2. State the Differentiability Theorem

3. Answer: If a function is differentiable at x=a, then the function is continuous at x=a.

4. What are other terms or notations we have used to describe the derivative?

5. Answer: Slope of tangent line F’(x) or y’ or dy/dx Instantaneous velocity

6. What can happen to a function to make it not differentiable? *Be able to pick these from a graph (pg144, #35)

7. Find the derivative:

8. Answer:

9. Find the derivative:

10. Answer:

11. Find the derivative:

12. Answer:

13. Find the slope of the tangent line to the equation at the given point: (2, 14)

14. Answer: 9

15. Find the equation of the tangent line to the equation at the given point:

16. Answer:

17. If f(1)=4, g(1)=2, f’(1)=-4, and g’(1)=5 Find (fg)’(1)

18. Answer: 12

19. List slopes in decreasing order: Pg. 119 #3

20. List slopes in increasing order: Pg. 132 #3

21. Left & Right Derivatives of: Piecewise functions Absolute value functions (rewrite as a piecewise function)

22. For what values is the function below not differentiable?

23. Answer: x = -3, x = 3

24. Given the graph of f(x), graph f’(x). *Could be open ended, multiple choice, or matching.

25. Any problem from homework or class notes can appear on the test.