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4) Find all critical points for the function: f ( x ) = - x 3 + 3x2 1 9x - 23 Give an ordered

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4) Find all critical points for the function: f ( x ) = - x 3 + 3x2 1 9x - 23 Give an ordered pair of coordinates (x, y) for each critical point and classify each critical point as a local maximum, a local minimum, inflection point, or neither. Use the first derivative test and second derivative test. Remember to justify your conclusions and show all your work

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