Let f(x) = ex kx, for k > 0.(a) Graph f for k = 1/4, 1/2, 1, 2, 4. Describe whathappens

Chapter 4, Problem 47

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Let f(x) = ex kx, for k > 0.(a) Graph f for k = 1/4, 1/2, 1, 2, 4. Describe whathappens as k changes.(b) Show that f has a local minimum at x = ln k.(c) Find the value of k for which the local minimum isthe largest.

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