How do you differentiate f(x)=xx2+1? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Raknos Oct 1, 2017 1−x2(1+x2)2 Explanation: =(1+x2)ddx(x)−xddx(x2+1)(1+x2)2 =1+x2−x(2x)(1+x2)2 =1−x2(1+x2)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=2x4−3x4x−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=xx2+1 ? How do you use the quotient rule to find the derivative of y=ex+1ex−1 ? How do you use the quotient rule to find the derivative of y=x−√xx13 ? How do you use the quotient rule to find the derivative of y=x3+ex ? See all questions in Quotient Rule Impact of this question 1638 views around the world You can reuse this answer Creative Commons License