What is the derivative of lnx^(1/2)lnx12? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Eddie Sep 24, 2016 =1/ (2x)=12x Explanation: d/dx ( ln x^(1/2))ddx(lnx12) =d/dx ( 1/2 ln x)=ddx(12lnx) =1/2 d/dx (ln x)=12ddx(lnx) =1/2 (1/ x)=12(1x) =1/ (2x)=12x Answer link Related questions What is the derivative of f(x)=ln(g(x))f(x)=ln(g(x)) ? What is the derivative of f(x)=ln(x^2+x)f(x)=ln(x2+x) ? What is the derivative of f(x)=ln(e^x+3)f(x)=ln(ex+3) ? What is the derivative of f(x)=x*ln(x)f(x)=x⋅ln(x) ? What is the derivative of f(x)=e^(4x)*ln(1-x)f(x)=e4x⋅ln(1−x) ? What is the derivative of f(x)=ln(x)/xf(x)=ln(x)x ? What is the derivative of f(x)=ln(cos(x))f(x)=ln(cos(x)) ? What is the derivative of f(x)=ln(tan(x))f(x)=ln(tan(x)) ? What is the derivative of f(x)=sqrt(1+ln(x)f(x)=√1+ln(x) ? What is the derivative of f(x)=(ln(x))^2f(x)=(ln(x))2 ? See all questions in Differentiating Logarithmic Functions with Base e Impact of this question 5847 views around the world You can reuse this answer Creative Commons License