(a) Use a graphing calculator or computer to graph the function f(x) = x4 - 3x3 -...

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(a) Use a graphing calculator or computer to graph the function f(x) = x4 - 3x3 - 6x2 + 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'.
(c) Calculate f'(x) and use this expression, with a graphing device, to graph f'. Compare with your sketch in part (b).
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