How do you differentiate #f(x) =x^2/(e^(x)-1)# using the quotient rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Eddie Aug 29, 2016 #=( x((2- x) e^x -2))/(e^(x)-1)^2# Explanation: Quotient Rule #d(u/v) = (d(u) v - u d(v))/v^2# here #d (x^2/(e^(x)-1))# #=(2x(e^(x)-1) - x^2 e^x)/(e^(x)-1)^2# #=( x((2- x) e^x -2))/(e^(x)-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 1235 views around the world You can reuse this answer Creative Commons License