Let fx ex - kx for k 0 graph f for k 14 12 1 2 4
Question: Let f(x) = ex - kx, for k > 0.
(a) Graph f for k = 1/4, 1/2, 1, 2, 4. Describe what happens 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 is the largest.
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