Question #5ca53 Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Eddie Jul 16, 2016 #= 2t \ cot t^2 # Explanation: assuming the question is #d/dt ln (sin t^2)# then we have a lot of chain rule to get #= 1/(sin t^2) * cos t^2 * 2t# #= 2t \ cot t^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 1136 views around the world You can reuse this answer Creative Commons License