Consider f(x) = x²(7 - x)5. (a) Find f'(x) and factor your answer completely. f'(x) = 67228x³ - 60025x4+20580x5 - 3430x6 +280x7 - 9x8 (b) Find all critical points of f(x), then use an appropriate derivative test to determine local maxima and minima. f(x) has ---Select--- (smallest value) f(x) has ---Select--- V at x = at x =

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