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: