[This problem illustrates the fact that f __ (c) = 0 is not a sufficient condition for
Chapter 5, Problem 25(choose chapter or problem)
[This problem illustrates the fact that f __ (c) = 0 is not a sufficient condition for an inflection point of a twice-differentiable function.] Show that the function f (x) = x4 has f __ (0) = 0 but that f __ (x) does not change sign at x = 0 and, hence, f (x) does not have an inflection point at x = 0.
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