MATH 221 Review Exercises for Test 2

1. Find the derivative of each of the following; (no calculator)

2. Find the equation of the tangent line to at the point (-1,2).

3. Find the linearization of at .

4. Using a linearization estimate .

5. Find the critical points of each of the following functions:

5. The volume of a cube is increasing at a rate of 12 cubic inches per minute. How fast is the side of the cube increasing when the volume is 64 cubic inches?

6. Verify the Mean Value Theorem for over the interval [1,9].

7. Find the absolute maximum and minimum points and values of over the interval [-3,1].