How do you find the derivative of #y=(ln x)^3#? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Guilherme N. · Truong-Son N. May 16, 2015 Simple chain rule use here. Be #u=lnx#, then we apply chain rule as follows #(dy)/(du)*(du)/(dx)=(dy)/(dx)# #(dy)/(dx)=3u^2*du=3(lnx)^2*1/x# #(dy)/(dx)=(3(lnx)^2)/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 3210 views around the world You can reuse this answer Creative Commons License