How do you find the derivative of #(x^2-4)/(x-1)#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer BeeFree Feb 16, 2016 Use the quotient rule ... Explanation: #d/dx[(x^2-4)/(x-1)]=[(x-1)(2x)-(x^2-4)(1)]/(x-1)^2# #=(2x)/(x-1)-(x^2-4)/(x-1)^2# hope that helped 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 1779 views around the world You can reuse this answer Creative Commons License