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 2663 views around the world You can reuse this answer Creative Commons License