How do you find the derivative of #f(x) = 3/(x-2)#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Lucy Apr 4, 2018 #f'(x)=-3/(x-2)^2# Explanation: #f(x)=3/(x-2)# #f'(x)=3times(x-2)^(-1)# #f'(x)=3times(-1)(x-2)^(-2)# #f'(x)=-3/(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 1207 views around the world You can reuse this answer Creative Commons License