Extrema

1. Find the value of the derivative (if it exists) of the function f(x) = 15 - |x| at point (0, 15).

1. 0

2. does not exist

3. -15

4. 15

5. none of the above

2. Find all of the critical numbers for f(x) = (9 - x2)⅗.

1. -3, 0, 3

2. 3

3. 3, -3

4. 0

5. none of the above

3. Find the derivative of the function f(x) = x2 / (x2 + 64) at point (0, 0).

1. 0

2. 1

3. -1

4. 1/9

5. -1/9

4. Locate the absolute extrema of the function f(x) = 2x2 + 12x - 4 on the closed interval [-6, 6].

1. no absolute max; absolute min: f(6) = 140

2. absolute max: f(-3) = -22; absolute min: f(6) = 140

3. absolute max: f(6) = 140; no absolute min

4. absolute max: f(6) = 140; absolute min: f(-3) = -22

5. no absolute max or min