essay

Question

(a) Use a graphing calculator or computer to graph the function g(x) = ex – 3×2 in the viewing rectangle [– 1, 4] by [–8, 8].
(b) Using the graph in part (a) to estimate slopes, make a rough sketch, by hand, of the graph of g’. (See Example 1 in Section 2.8.)

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