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A function and its first and second derivatives are given. Use these to find each of the following. y = x (x - 8) y'

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A function and its first and second derivatives are given. Use these to find each of the following. y = x (x - 8) y' = 4(x - 2) 3x2/3 4(x + 4) y" = 9x573 Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) relative maxima (x, y) = ( relative minima ( x, y ) = points of inflection (x, y) = (smaller x-value) points of inflection (x, y) = (larger x-value) Sketch the graph of the function. 20 20 20 20 10 10 10 -10 -5 LUX 5 10 -10 -5 X 5 10 -5 5 10 -10 -5 X 5 10 -10 -10 -10 -20 O -20 -20 DO -20

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