Question: Consider the function f(x) = 3x^5/3 + 60x^2/3.(a) Show that f'(x) = {[5(x + 8)] / ?x}. Then find and classify all local extrema of

Consider the function f(x) = 3x^5/3 + 60x^2/3.(a) Show that f'(x)

Consider the function f(x) = 3x^5/3 + 60x^2/3.(a) Show that f'(x) = {[5(x + 8)] / ?x}. Then find and classify all local extrema of f.b) Find the values of the global extrema of f on the domain [-1,1].c) Justify briefly, but precisely, why f has global extrema on the interval [-1, 1]

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