How do you differentiate #f(x)= ( x^2+ x -12)/ (e^x + 3x ) # using the quotient rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Sahar Mulla ❤ Feb 16, 2018 applying the quotient rule, #f'(x) =( (e^x+3x)(x^2+x−12)' - (x^2+x−12)(e^x+3x)')/(e^x+3x)^2# #=((e^x+3x)(2x+1) - (x^2+x−12)(e^x+3)) / (e^x+3x)^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 1284 views around the world You can reuse this answer Creative Commons License