How do you find the second derivative of ln(4x) ? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Alan N. Aug 16, 2016 f''(x) = -1/x^2 Explanation: f(x) = ln(4x) f'(x) = 1/(4x) * d/dx(4x) Standard differential and Chain rule) f'(x) =1/(4x) *4 = 1/x f''(x) = -1/x^2 (Power rule) 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 2152 views around the world You can reuse this answer Creative Commons License