Don't forget to make your x,y table of values in this problem to properly determine the x,y coordinates they request.
Recall the tips I gave you about finding the domain of a function back in Lesson 1, questions 2 and
3. Make sure you are clear about the domain here!
Otherwise, this is doing a complete first derivative analysis as I teach in Lesson 9.
Part (e)
By "first derivative test," they simply mean, use the sign diagram you made for increase/decrease earlier in the problem to visualize whether the critical points are local mins or max.
Part
(f)
I discuss and illustrate the second derivative test in Lesson 9, Practise Problem 20. Note that you are not asked to do any analysis with the second derivative (such as concavity and inflection points), you are just asked to use the second derivative test to check the critical points. Obviously, you should reach the same conclusion as you did in the previous part.