What is the derivative of f(x)=sqrt(1+log_3(x) ? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Marko T. ยท Ananda Dasgupta Mar 15, 2018 d/dx(sqrt(1+log_3x)) =((d/dx)(1+log_3x))/{2sqrt(1+log_3x)} =((d/dx)(1+logx/log3))/{2sqrt(1+log_3x)} =(1/(xln3))/{2sqrt(1+log_3x)} =1/(2xln3sqrt(1+log_3)) 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)=(log_6(x))^2 ? What is the derivative of f(x)=sin(log_2(x)) ? See all questions in Differentiating Logarithmic Functions without Base e Impact of this question 5557 views around the world You can reuse this answer Creative Commons License