Question: please show step by step, thanks! 10. Let f(x) = x3 + (15/2)*x2 - 18x - 1. a) Find f'(x) and f(x). b) Construct a

please show step by step, thanks!

10. Let f(x) = x3 + (15/2)*x2 - 18x - 1. a) Find f'(x) and f"(x). b) Construct a first derivative sign chart to determine the intervals where f(x) is increasing or decreasing. Increasing: Decreasing: c) Use the First Derivative Test to find all relative maxima and minima. Answer as coordinate pairs. Relative maxima: Relative minima

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