Let f(x) = ?x^4 ? 4x^3.
(i) Find the intervals of increase/decrease of f.
(ii) Find the local extrema of f (values and locations).
(iii) Determine the intervals of concavity.
(iv) Find the location of the inflection points of f.
(v) Sketch the graph of f. (You can choose your own scale forthe graph)
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