What is the derivative of lnx/(4x^2)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Guilherme N. Dec 24, 2015 Quotient rule, which states for y=f(x)/g(x), y'=(f'(x)g(x)-f(x)g'(x))/g(x)^2, will help us here. Explanation: (dy)/(dx)=((1/x)(4x^2)-lnx(8x))/(4x^4) (dy)/(dx)=(4x-8xlnx)/(4x^4)=(1-2lnx)/(x^3) 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 2867 views around the world You can reuse this answer Creative Commons License