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