What is the derivative of y=log_10(2x)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Bdub Mar 31, 2017 see below Explanation: Use the Property color(red)(d/dx(log_bx)=1/(xln b) y=log_10(2x) color(blue)(y'=1/(2x ln 10) * 2 color(blue)(y'=1/(cancel2x ln 10) * cancel2 color(blue)(y'=1/(xln10) 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 7882 views around the world You can reuse this answer Creative Commons License