Question: Problems 27-40, find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. 28. f(x) = -3x2

Problems 27-40, find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.
28. f(x) = -3x2 - 12x
30. f(x) = -3x2 + 12x - 5
32. f(x) = -x3 - 4x + 8
34. f(x) = -2x3 + 3x2 + 120x
36. f(x) = x4 + 2x3 + 5
38. f(x) = x In x - x
40. f(x) = (x2 - 9)2/3

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28 fx 3x 2 12x fx 6x 12 f is continuous for all x and fx 6x 12 0 x 2 Thus x 2 is a partition number for f Next we construct a sign chart for f Therefo... View full answer

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