How do you find the derivative for f(x) = (3 + 4x) /( 1 + x^2)f(x)=3+4x1+x2? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Guilherme N. Jan 6, 2016 Quotient rule states that (a/b)'=(a'b-ab')/b^2 Explanation: (df(x))/(dx)=(4(1+x^2)-(3+4x)(2x))/(1+x^2)^2 (df(x))/(dx)=(4+4x^2-6x-8x^2)/(1+x^2)^2 (df(x))/(dx)=(-4x^2-6x+4)/(1+x^2)^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 1548 views around the world You can reuse this answer Creative Commons License