Relative Extrema (a) Graph the fourth-degree polynomial
Chapter 3, Problem 2(choose chapter or problem)
Relative Extrema (a) Graph the fourth-degree polynomial for 0, 1, 2, and 3. For what values of the constant does have a relative minimum or relative maximum? (b) Show that has a relative maximum for all values of the constant (c) Determine analytically the values of for which has a relative minimum. (d) Let be a relative extremum of Show that lies on the graph of Verify this result graphically by graphing together with the seven curves from part (a).
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