MATH 2431 – Summer Session 2005

TEST 3

NAME_______________________________________________________

You may NOT use a calculator on this portion of the test. Show work and write clearly.

1. (14 points) Find the first derivative:

a. b.

2. (20 points) Find the second derivatives:

a. b.

3. (11 points) Find : .

4. (11 points) Find : .

5. (11 points) Find : .

6. (11 points) Find the equation of the tangent line to f(x) at : .

7. (11 points) Find : .

8. (11 points) Find the critical points of: