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 1458 views around the world You can reuse this answer Creative Commons License