First Derivative Test Examples
Example 1
Let f (x) = xe^{x}. Use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither. |
Example 2
Let f (x) = x^{3}. Use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither. |
Example 3
Let f (x) = sin x on the interval 0 ≤ x ≤ 2π. Use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither |