What is the derivative of f(x) = x/(1-ln(x-1))? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Anees Apr 10, 2015 f'(x)=(2x-1-(x-1)ln(x-1))/((x-1)[(1-ln(x-1)]^2 The complete solution is here f(x)=x/(1-ln(x-1) f'(x)=(1(1-ln(x-1))-x(0-1/(x-1)))/([(1-ln(x-1)]^2 f'(x)=((x-1)[1-ln(x-1)]+x)/((x-1)[(1-ln(x-1)]^2 f'(x)=(x-1-(x-1)ln(x-1)+x)/((x-1)[(1-ln(x-1)]^2 f'(x)=(2x-1-(x-1)ln(x-1))/((x-1)[(1-ln(x-1)]^2 Answer link Related questions What is the derivative of f(x)=ln(g(x)) ? What is the derivative of f(x)=ln(x^2+x) ? What is the derivative of f(x)=ln(e^x+3) ? What is the derivative of f(x)=x*ln(x) ? What is the derivative of f(x)=e^(4x)*ln(1-x) ? What is the derivative of f(x)=ln(x)/x ? What is the derivative of f(x)=ln(cos(x)) ? What is the derivative of f(x)=ln(tan(x)) ? What is the derivative of f(x)=sqrt(1+ln(x) ? What is the derivative of f(x)=(ln(x))^2 ? See all questions in Differentiating Logarithmic Functions with Base e Impact of this question 12218 views around the world You can reuse this answer Creative Commons License