How do you differentiate #f(x)= e^x/(e^(x) -4 )# using the quotient rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer bp Feb 18, 2016 #(-4e^x)/(e^x-4)^2# Explanation: Here it is #((e^x -4)d/dx e^x - e^x d/dx (e^x-4))/(e^x -4)^2# =#(-4e^x)/(e^x-4)^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 1229 views around the world You can reuse this answer Creative Commons License