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4. For the following question, let f(ac ) = 4x3 + 3xc2- 6xc + 1. (a) Find the intervals on which f(x) is increasing or decreasing. (b) Find the local maximum and minimum values of f(x). (c) Find the intervals of concavity and the inflection points. (d) Using all your information from parts (a) - (c), draw a sketch of the graph on your own paper. You should label things like local max and mins, inflection points, and intercepts. Draw a detailed enough graph so that the concavity on each interval is clear