How do you find the derivative of # (x^2-3x+5)/x#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Bio Jan 27, 2016 #1-5/x^2# Explanation: #frac{d}{dx}(frac{x^2 - 3x + 5}{x}) = frac{d}{dx}(x - 3 + 5/x)# #= 1 - 0 - 5/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 1406 views around the world You can reuse this answer Creative Commons License