What is the derivative of y=log(6x−2)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Bill K. Aug 14, 2015 dydx=6ln(10)(6x−2) Explanation: Assuming log(6x−2)=log10(6x−2), the Chain Rule and the fact that ddx(log10(x))=1ln(10)x imply that dydx=6ln(10)(6x−2) when y=log(6x−2). Answer link Related questions What is the derivative of f(x)=logb(g(x)) ? What is the derivative of f(x)=log(x2+x) ? What is the derivative of f(x)=log4(ex+3) ? What is the derivative of f(x)=x⋅log5(x) ? What is the derivative of f(x)=e4x⋅log(1−x) ? What is the derivative of f(x)=log(x)x ? What is the derivative of f(x)=log2(cos(x)) ? What is the derivative of f(x)=log11(tan(x)) ? What is the derivative of f(x)=√1+log3(x) ? What is the derivative of f(x)=(log6(x))2 ? See all questions in Differentiating Logarithmic Functions without Base e Impact of this question 3027 views around the world You can reuse this answer Creative Commons License