What is the derivative of lnx / x? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Guilherme N. Dec 24, 2015 Using quotient rule, which states that for y=f(x)/g(x), (dy)/(dx)=(f'(x)g(x)=f(x)g'(x))/g(x)^2 Explanation: Solving: (dy)/(dx)=((1/x)x-lnx(1))/x^2 (dy)/(dx)=(1-lnx)/x^2 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 1500 views around the world You can reuse this answer Creative Commons License