Question: 5. Given the function f (x) = x3(x - 5) answer the following questions. a) Find the first derivative. Simplify and factor it. b) Find

5. Given the function f (x) = x3(x - 5) answer the following questions. a) Find the first derivative. Simplify and factor it. b) Find the second derivative. Simplify and factor it. c) Find open intervals where f is increasing and where f is decreasing. Give any local extrema. d) Find open intervals where f is concave up and where f is concave down. Give any inflection points

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