x3(x-5) Use y = and its derivative dy 5x2(x-3)(x-5) to find each of the following. 12...

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x3(x-5) Use y = and its derivative dy 5x2(x-3)(x-5) to find each of the following. 12 dx 12 Find the critical values. (Enter your answers as a comma-separated list.) x = Find the critical points. (x, y) = (smallest x-value) (x, y) = (x, y) = (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, enter DNE.) relative maxima relative minima horizontal points of inflection (x, y) = ( (x, y) = ( (x, y) = ( Sketch the graph of the function. y x3(x-5) Use y = and its derivative dy 5x2(x-3)(x-5) to find each of the following. 12 dx 12 Find the critical values. (Enter your answers as a comma-separated list.) x = Find the critical points. (x, y) = (smallest x-value) (x, y) = (x, y) = (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, enter DNE.) relative maxima relative minima horizontal points of inflection (x, y) = ( (x, y) = ( (x, y) = ( Sketch the graph of the function. y