essay

Question

(a) Use a graphing calculator or computer to graph the function f (x) = x4 – 3×3 – 6×2 + 7x + 30 in the viewing rectangle [–3, 5] by [–10, 50] .
(b) Using the graph in part (a) to estimate slopes, make a rough sketch, by hand, of the graph of f’. (See Example 1 in Section 2.8.)

(c) Calculate f ‘(x) and use this expression, with a graphing device, to graph f’. Compare with your sketch in part (b).