How do you differentiate f(x)= 5ln(cosx/x) ? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Trevor Ryan. Nov 12, 2015 d/dx[5ln(cosx/x)]=(5x)/cosx*((-xsinx)-cosx)/x^2 Explanation: d/dx[5ln(cosx/x)]=5*x/cosx*((x(-sinx)-cosx))/x^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 1756 views around the world You can reuse this answer Creative Commons License