What is the derivative of #y = log (x^2 + 1)#? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Gió Jul 27, 2015 Assuming #log_10# I found: #y'=(2x)/((x^2-1)*ln(10)# Explanation: You can use the Chain Rule to derive the #log# first as it is and then multiply by the derivative of the argument: #y'=1/((x^2+1)*ln(10))xx(2x)=(2x)/((x^2-1)*ln(10)# 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 4980 views around the world You can reuse this answer Creative Commons License