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Use y = x (x-5) and its derivative dy = 5x(x-3)(x-5) to find each of the following. 36 dx 36 Find the critical values.

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Use y = x (x-5) and its derivative dy = 5x(x-3)(x-5) to find each of the following. 36 dx 36 Find the critical values. (Enter your answers as a comma-separated list.) x = Find the critical points. (x, y) = (x, y) = (x, y) = (smallest x-value) (largest x-value) Find the intervals on which the function is increasing. (Enter your answer using interval notation.) Find the intervals on which the function is decreasing. (Enter your answer using interval notation.) Find the relative maxima, relative minima, and horizontal points of inflection. (If an answer does not exist, ente relative maxima relative minima (x, y) = DNE (x, y) = DNE horizontal points of inflection (x, y) = ( DNE

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