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4. Let f (x) = sx (x-1)z . then f' (x) = =s(x+1) (x-1)3 and f(x) = 100(x+2) (x-1)4 . Use the Algorithm for Curve

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4. Let f (x) = sx (x-1)z . then f' (x) = =s(x+1) (x-1)3 and f"(x) = 100(x+2) (x-1)4 . Use the Algorithm for Curve Sketching to sketch a detailed graph of f (x). Make sure to show all work necessary to justify your sketch. [12]

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