How do you find the derivative of √xx3+1? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Shwetank Mauria Jul 4, 2016 dfdx=1−5x32√x(x3+1)2 Explanation: As f(x)=√xx3+1, using quotient rule, dfdx=ddx√x×(x3+1)−ddx(x3+1)×√x(x3+1)2 = 12√x×(x3+1)−3x2×√x(x3+1)2 = x3+1−6x32√x(x3+1)2 = 1−5x32√x(x3+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=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 8696 views around the world You can reuse this answer Creative Commons License