Let f (x) = x 5 5 - x 4 + x 3 + 2x 2 - 4x + 1. 1. Find f 0 (x) and factor it into linear factors. 2. Find the critical numbers of f (x) on the open interval (0, 3). 3. Find the local extrema of f (x) on the open interval (0, 3). 4. Find the absolute maximum and absolute minimum values of f (x) on the closed interval [0, 3].
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