Calculus: Derivatives: General Problems – #485

Question: Given \(f(x)={{x}^{3}}-3{{x}^{2}}-9x+17\)

a) Find \(f'(x)\) and locate the first order critical numbers

b) Indicate the interval on which \(f\) is increasing and decreasing.

c) Find both coordinates for the relative maximum and relative minimum points.

d) Find where the function is concave up and concave down


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