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Find all values of x for which f (a) = 3x4 + 4x3 - 120x2 + 120 has local maxima and minima, as well as

Find all values of x for which f (a) = 3x4 + 4x3 - 120x2 + 120 has local maxima and minima, as well as the inflection points. Show all your work

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