What is the derivative of y=log_2(x)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Wataru Sep 20, 2014 By the change of base formula, y=log_2x={lnx}/{ln2} By taking the derivative, y'=1/{(ln2)x} 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 1870 views around the world You can reuse this answer Creative Commons License