The derivative f '(x) of a differentiable function f (x) is given. In each case,
(a)Find intervals of increase and decrease for f (x).
(b)Determine values of x for which relative maxima and minima occur on the graph of f (x).
(c)Find f ''(x) and determine intervals of concavity for the graph of f (x).
(d)For what values of x do inflection points occur on the graph of f (x)?
f '(x) = x2(x + 1)3
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