How do you use the quotient rule to differentiate # f(x)= 4/(x-2)#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Sonnhard May 24, 2018 #f'(x)=-4/(x-2)^2# Explanation: Writing #f(x)=4(x-2)^(-1)# we get after the power rule #(x^n)'=nx^(n-1)# #f'(x)=-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 1438 views around the world You can reuse this answer Creative Commons License