Question: A function and its first and second derivatives are given. Use these to find each of the following. f (x ) = 3x5 - 20x3

A function and its first and second derivatives are given. Use these to find each of the following. f (x ) = 3x5 - 20x3 f' ( x ) = 15x2(x - 2)(x+ 2) f " ( x ) = 60x(x2 - 2) 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 ) = (smallest x-value) points of inflection (x, y) = points of inflection (x, y) = (largest x-value) Sketch the graph of the function. 100 100

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