Solved: A cubic function is a polynomial of degree 3; that

Chapter 3, Problem 3.1.60

(choose chapter or problem)

A cubic function is a polynomial of degree 3; that is, it has the form , where . (a) Show that a cubic function can have two, one, or no critical number(s). Give examples and sketches to illustrate the three possibilities. (b) How many local extreme values can a cubic function have?

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