How do you differentiate (x+1)/(x-1)x+1x−1? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Sonnhard Jun 9, 2018 -2/(x-1)^2−2(x−1)2 Explanation: After the Quotient rule (u/v)'=(u'v-uv')/v^2 we get f'(x)=(x-1-(x+1))/(x-1)^2=-2/(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 50041 views around the world You can reuse this answer Creative Commons License