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(ln(1/(1-x)))'The calculation above is a derivative of the function f (x)

(1/(1/(1-x)))*(1/(1-x))'

(1/(1/(1-x)))*(((1)'*(1-x)-(1*(1-x)'))/((1-x)^2))

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

(1/(1/(1-x)))*((0*(1-x)-(1*((-x)'+(1)')))/((1-x)^2))

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

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

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

(1-x)^-1

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