What is the derivative of (lnx)^2? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Guilherme N. Dec 29, 2015 Using chain rule. Explanation: Chain rule states that (dy)/(dx)=(dy)/(du)(du)/(dx) Renaming u=lnx, we get that: (dy)/(dx)=2u1/x=(2u)/x=(2(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 1372 views around the world You can reuse this answer Creative Commons License