Consider the cubic polynomial f(x)=x3−3x2+1. Answer the following questions.
(i) Define a stationary point of a differentiable function.
(ii) State the second derivative test for classification of stationary points.
(iii) Find all stationary points of f(x) and classify each.
(iv) Using your result in (iii), explain why the range of f on (−∞,∞) is R."