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Differentiate f and find the domain of f.
f(x) = x/[1-ln(x-1)]

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f(x) = [2x - 1 - (x-1) in (x - 1)] / [ 1 - in(x-1)]^2

domain of f = (1, 1+e) U (1 + e, infinty)

hope this helps
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