Second Derivative Test Examples
Example 1
Let f (x) = xe^{x}. If possible, use the second derivative test to determine if each critical point is a maximum, a minimum, or neither. |
Example 2
Let f (x) = -x^{3} + 3x^{2} – 3x. If possible, use the second derivative test to determine if each critical point is a minimum, maximum, or neither. |
Example 3
Let f (x) = 5 – x^{2}. If possible, use the second derivative test to determine if each critical point is a minimum, maximum, or neither. |