What is the derivative of y=log_x 2? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Konstantinos Michailidis Oct 12, 2015 We have that from the logarithm change of base formula log_x2=log2/logx hence d(log_x2)/dx=d(log2/logx)/dx=-(log2)/(xlog^2x) 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 3636 views around the world You can reuse this answer Creative Commons License