How do you find the derivative of # log 4^(x^2)#? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e 1 Answer Monzur R. · mason m Apr 26, 2018 #d/dxlog4^(x^2)=2xlog4# Explanation: We use the following rule to simplify the function: #loga^b=bloga# So #log4^(x^2)=x^2log4# and #d/dxlog4^(x^2)=d/dxx^2log4=2xlog4# Remember that #log4# is just a constant. 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 2078 views around the world You can reuse this answer Creative Commons License