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Question #b2dc7

1 Answer

Jan 23, 2017

#d/dxln(ln(1-x))=-1/((1-x)ln(1-x))#

Explanation:

Using the chain rule, along with the derivative #d/dxln(x) = 1/x#:

#d/dxln(ln(1-x)) = 1/ln(1-x)(d/dxln(1-x))#

#=1/ln(1-x)(1/(1-x))(d/dx(1-x))#

#=1/((1-x)ln(1-x))(-1)#

#=-1/((1-x)ln(1-x))#

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