How do you differentiate #y=ln(-x)#? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Andrea S. Jan 25, 2017 #d/(dx) (ln(-x)) = 1/x# Explanation: Using the chain rule with #y= -x#: #d/(dx) (ln(-x))= ((d(ln(-x)))/(d(-x)))( (d(-x))/(dx)) = (1/(-x))(-1) = 1/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 18030 views around the world You can reuse this answer Creative Commons License