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 1566 views around the world You can reuse this answer Creative Commons License