Consider f(x) = x^8(5 x)^9

Consider (x) = x8(5 - x)9. (a) Find f '(x) and factor your answer completely. F(X) = (b) Find all critical points of /(x), then use an appropriate derivative test to determine local maxima and minima. f(x) has --Select-.- o atx = (smallest value) F(x) has --Select--- o atx = f(x) has --Select--- at x = (largest value)