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Practice Problems: Local Extrema
1 : Consider the function
We know that has some kind of extrema at Use the second derivative test to determine if this extrema is a maximum or minimum.
If it is a maximum, enter into the following box, and if it is a minimum, enter .
Recall that the second derivative test says that if is less than zero then it is a maximum, but if it is greater than zero it is a
minimum.
1.1 : What is the actual value of the extrema?
Remember you need to plug the value into the original function, not one of
the derivatives, to get the extrema value.
