How do you differentiate #f(x) =1/(e^(3x)+1)# using the quotient rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Eddie Jul 18, 2016 # = - ( 3 e^(3x) )/(e^(3x)+1)^2# Explanation: #f(x) =1/(e^(3x)+1)# Quotient Rule #(u/v)' = (u'v - uv')/v^2# #f'(x) =(0*(e^(3x)+1) - (1) (3 e^(3x)) )/(e^(3x)+1)^2# # = - ( 3 e^(3x) )/(e^(3x)+1)^2# Answer link Related questions What is the Quotient Rule for derivatives? How do I use the quotient rule to find the derivative? How do you prove the quotient rule? How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#? How do you use the quotient rule to differentiate #y=cos(x)/ln(x)#? How do you use the quotient rule to find the derivative of #y=tan(x)# ? How do you use the quotient rule to find the derivative of #y=x/(x^2+1)# ? How do you use the quotient rule to find the derivative of #y=(e^x+1)/(e^x-1)# ? How do you use the quotient rule to find the derivative of #y=(x-sqrt(x))/(x^(1/3))# ? How do you use the quotient rule to find the derivative of #y=x/(3+e^x)# ? See all questions in Quotient Rule Impact of this question 1233 views around the world You can reuse this answer Creative Commons License