(a) Find f'(x).

(b) Graph both f (x) and f'(x) with a graphing utility.

(c) Identify the x-values where f'(x) = 0, f '(x) > 0, and f'(x) < 0.

(d) Identify x-values where f (x) has a maximum point or a minimum point, where f (x) is increasing, and where f (x) is decreasing.

f(x) = 10x2 / x2 + 1