?1. Graph the functionf(x) = x4 - 3x3 - 6x2 + 7x + 30in the viewing rectangle [-3, 5] by

Chapter 2, Problem 47

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Graph the function

f(x) = x4 - 3x3 - 6x2 + 7x + 30

in the viewing rectangle [-3, 5] by [-10, 50].

Using the graph in part (a) to estimate slopes, make a rough sketch, by hand, of the graph of f’. (See Example 2.8.1.)Calculate f’(x) and use this expression to graph f’. Compare with your sketch in part (b).

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