How do you differentiate #f(x)= ln(tanx-x^2) #? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer moutar Jan 11, 2016 #(sec^2x-2x)/(tanx-x^2)# Explanation: Set #y=lnu, u=tanx-x^2# #dy/(du)=1/u, (du)/(dx)=sec^2x-2x# #(dy)/(dx)=(dy)/(du)*(du)/(dx)# #=1/(tanx-x^2)*sec^2x-2x# #=(sec^2x-2x)/(tanx-x^2)# Answer link Related questions What is the derivative of #f(x)=ln(g(x))# ? What is the derivative of #f(x)=ln(x^2+x)# ? What is the derivative of #f(x)=ln(e^x+3)# ? What is the derivative of #f(x)=x*ln(x)# ? What is the derivative of #f(x)=e^(4x)*ln(1-x)# ? What is the derivative of #f(x)=ln(x)/x# ? What is the derivative of #f(x)=ln(cos(x))# ? What is the derivative of #f(x)=ln(tan(x))# ? What is the derivative of #f(x)=sqrt(1+ln(x)# ? What is the derivative of #f(x)=(ln(x))^2# ? See all questions in Differentiating Logarithmic Functions with Base e Impact of this question 1363 views around the world You can reuse this answer Creative Commons License