How do you find the derivative of #f(x)=1/(3-2x)#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer maganbhai P. Jul 27, 2018 #f'(x)=2/(3-2x)^2# Explanation: Here , #f(x)=1/(3-2x)=(3-2x)^-1# Diff.w.r.t. #x# , #"using "color(blue)"chain rule :"# #f'(x)#=#(-1)/(3-2x)^2d/(dx)(3-2x)to[becaused/(du)(u)^-1=-1(u)^-2]# #:.f'(x)=(-1)/(3-2x)^2(-2)# #:.f'(x)=2/(3-2x)^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 4854 views around the world You can reuse this answer Creative Commons License