How do you differentiate #f(x)=(2x+3)/6# using the quotient rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Alia R. Apr 20, 2017 here Explanation: using the formula #f(x)= (h(x))/g(x)# # f'(x)=[g(x)*h'(x) - h(x)* g'(x)]/(g(x))^2# #f'(x)=((6)*(2)-(2x+3)*0)/36= 12/36=2/6=1/3# 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 1378 views around the world You can reuse this answer Creative Commons License