Hoe do you differentiate f(x)=ln(1/x) ? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Konstantinos Michailidis Nov 3, 2015 It is f(x)=ln(1/x)=>d/dxf(x)=(d/dx(1/x))/(1/x)=>f'(x)=-1/x Remember that if f(x)=lng(x) then f'(x)=(g'(x))/g(x) 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 2539 views around the world You can reuse this answer Creative Commons License