What is the derivative of #f(x)=sin(ln(x))# ? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Wataru Sep 21, 2014 By Chain Rule, #f'(x)=cos(lnx)cdot(lnx)'=cos(lnx)cdot1/x={cos(lnx)}/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 10861 views around the world You can reuse this answer Creative Commons License