How do you find the derivative of #y = (x+2)/(x-2) #? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Guilherme N. Jun 2, 2015 Using the quotient rule, which states that for #y=f(x)/g(x)#, we'll have #y'=(f'(x)g(x)-f(x)g'(x))/(g(x)^2)#, we have #(dy)/(dx)=(1*(x-2)-(x+2)*1)/(x-2)^2=(cancel(x)-2-cancel(x)-2)/(x-2)^2=-4/(x-2)^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 1210 views around the world You can reuse this answer Creative Commons License