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

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

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

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

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

(0-1)*(1/ln(1-x))*(1/(1-x))

(-(1-x)^-1)/ln(1-x)

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