What is the derivative of f(x)=log (x/5) ? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Dharma R. Sep 16, 2015 1/x Explanation: derrivative of log(x/5) = 1/(x/5)*1/5 which on simplification leads to 1/x Answer link Related questions What is the derivative of f(x)=log_b(g(x)) ? What is the derivative of f(x)=log(x^2+x) ? What is the derivative of f(x)=log_4(e^x+3) ? What is the derivative of f(x)=x*log_5(x) ? What is the derivative of f(x)=e^(4x)*log(1-x) ? What is the derivative of f(x)=log(x)/x ? What is the derivative of f(x)=log_2(cos(x)) ? What is the derivative of f(x)=log_11(tan(x)) ? What is the derivative of f(x)=sqrt(1+log_3(x) ? What is the derivative of f(x)=(log_6(x))^2 ? See all questions in Differentiating Logarithmic Functions without Base e Impact of this question 3505 views around the world You can reuse this answer Creative Commons License