Consider the function f(x)= x³ +48 / x is not equal to 0.

(a) Calculate f(2).

(b) Sketch the graph of the function y = f(x) for -5≤x≤5 and -200 ≤ y ≤ 200.

(c) Find f'(x).

(d) Find f'(2).

(e) Write down the coordinates of the local maximum point on the graph of f.

(f) Find the range of f.

(g) Find the gradient of the tangent to the graph of fat x=1.

There is a second point on the graph of f at which the tangent is parallel to the tangent at x = 1.

(h) Find the x-coordinate of this point.