How do you differentiate f(x) = log(log x)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer James May 14, 2018 y'=[1/x]/logx=1/[x*logx] Explanation: show below y=log(logx) y'=[1/x]/logx=1/[x*logx] Answer link Related questions What is the derivative of f(x)=log_b(g(x)) ? What is the derivative of f(x)=log(x^2+x) ? What is the derivative of f(x)=log_4(e^x+3) ? What is the derivative of f(x)=x*log_5(x) ? What is the derivative of f(x)=e^(4x)*log(1-x) ? What is the derivative of f(x)=log(x)/x ? What is the derivative of f(x)=log_2(cos(x)) ? What is the derivative of f(x)=log_11(tan(x)) ? What is the derivative of f(x)=sqrt(1+log_3(x) ? What is the derivative of f(x)=(log_6(x))^2 ? See all questions in Differentiating Logarithmic Functions without Base e Impact of this question 32172 views around the world You can reuse this answer Creative Commons License