Values of related functions Suppose f is differentiable on

Chapter 4, Problem 79

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Values of related functions Suppose f is differentiable on 1- _, _2 and assume it has a local extreme value at the point x = 2, where f 122 = 0. Let g1x2 = x f 1x2 + 1 and let h1x2 = x f 1x2 + x + 1, for all values of x. a. Evaluate g122, h122, g_122, and h_122. b. Does either g or h have a local extreme value at x = 2? Explain.

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