The derivative f '(x)of a differentiable function f (x) is given. In each case,(a)Find...

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)?