How do you differentiate f(x) = (sinx)/(x^3-x) using the quotient rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Matt B. Dec 12, 2016 If f(x)=sin(x)/(x^3-x) f'(x)=[d/dxsin(x)*(x^3-x)-d/dx(x^3-x)*sin(x)]/(x^3-x)^2 =[cos(x)*(x^3-x)-(3x^2-1)*sin(x)]/(x^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 1787 views around the world You can reuse this answer Creative Commons License