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d/dx ln(1-x)

= 1/(1-x)

d/dx 1/(1-x)

= 1-x * d/dx 1 - 1 * d/dx(1-x)/(1-x^2

= 1-x * 0 - 1 * 0 - 1/(1-x)^2

= -1/(1-x)^2

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