How do you find the derivative of #y=ln(x+3)ln(x-1)#? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Andrea S. Jan 13, 2017 #d/(dx)(ln(x+3)ln(x+1)) = ln(x+1)/(x+3)+ln(x+3)/(x+1)# Explanation: We can use the product rule: #d/(dx)( f(x)*g(x)) = f'(x) g(x) +f(x) g'(x)# So: #d/(dx)(ln(x+3)ln(x+1)) = ln(x+1)/(x+3)+ln(x+3)/(x+1)# 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 1638 views around the world You can reuse this answer Creative Commons License