Determine the local maximum and local minimum values of the function .
Stationary points occur when is equal to 0. First, find .
Now set to 0 and solve for .
Now evaluate the function at each point.
Therefore, the function has stationary points at and .
Finally, determine whether each point is a local minimum or a local maximum by evaluating the second derivative at each point.
Therefore, is a local minimum as is positive.
Therefore, is a local maximum as is negative.