What is the derivative of lnx^2? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Jim H Apr 22, 2015 f(x)=lnx^2 = 2 lnx f'(x) = 2 1/x = 2/x That is the easy way. If 9you prefer, use d/(dx)(lnu) = 1/u (du)/dx to get: f'(x) = 1/x^2 * 2x = (2x)/x^2 = 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 1741 views around the world You can reuse this answer Creative Commons License