How do you find the derivative of x/(x+1)? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Eddie Jun 22, 2016 (1)/ (x+1)^2 Explanation: (x/(x+1))^prime = (x'(x+1) - x (x+1)')/(x+1)^2 = (x + 1 - x)/ (x+1)^2 = (1)/ (x+1)^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 1357 views around the world You can reuse this answer Creative Commons License