1. Find f’(x) using the formal definition of a limit and proper limit notation.

2. State, with reasons, the values of x where f(x), shown below, is not differentiable.

3. Find the slope of the line that is normal to f(x) at the point (-1, 2).

4. Find f’(x).

5. Find dy/dx.

6. A particle’s motion is described by the following function: where s is measured in feet and t is measured in seconds. Find the average velocity of the particle over the first 5 seconds.

7. A particle’s motion is described by the following function: where s is measured in feet and t is measured in seconds. Find the speed of the particle at 7 seconds.

8. A particle’s motion is described by the following function: where s is measured in feet and t is measured in seconds. When does the particle change direction?

9. A particle’s motion is described by the following function: where s is measured in feet and t is measured in seconds. Find the the total distance the particle covers in the first 5 seconds.

10. Find all points of discontinuity.

11. Solve the following equation algebraically. Give approximate answers rounded to the nearest thousandth.

12. Find the equation of the horizontal asymptote, if it exists, for the following function. Justify your answer using a limit statement.

13. Evaluate the following limit algebraically. You must show all work to justify your answer.