Question: For what values of a and b does f(x) = a(x b ln x) have a local minimum at the point (2, 5)? Figure

For what values of a and b does f(x) = a(x − b ln x) have a local minimum at the point (2, 5)? Figure 4.16 shows a graph of f(x) with a = 1 and b = 1.

3 2 1 f(x) = x-lnx 1 2 Figure 4.16 3 X

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