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In this case, you need to apply the chain rule. Note that the derivative of ln N = 1/N. In that case we get:

f(x) = ln(1 - x)

∴ f'(x) = 1/(1 - x) × -1

∴ f'(x) = -1/(1 - x)

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Q: What is the derivative of ln 1-x?
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