What is the derivative of (x^2+3)/x? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Eddie Jul 5, 2016 =1- 3/x^2 Explanation: ((x^2+3)/x)^prime =(x+3/x)^prime =1+(3/x)' (3/x)' = (3x^{-1})' = (-1) 3 x^{-2} = - 3/x^2 =1- 3/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 1347 views around the world You can reuse this answer Creative Commons License