How do you find the derivative of #(x+4)/x#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Shwetank Mauria Mar 30, 2016 #d/dx((x+4)/x)=-4/x^2# Explanation: #d/dx((x+4)/x)=d/dx(1+4/x)# As derivative of constant term #1# is #0# #d/dx((x+4)/x)=d/dx(4/x)# or #d/dx((x+4)/x)=4xx-1/x^2=-4/x^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 1288 views around the world You can reuse this answer Creative Commons License