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 1545 views around the world You can reuse this answer Creative Commons License