How do you differentiate f(x) = 5/(x-7) using the quotient rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Lucio Falabella Jan 6, 2016 -5/(x-7)^2 Explanation: f(x)=(N(x))/(D(x)) f'(x)=(N'(x)*D(x)-D'(x)*N(x))/((D(x))^2) f'(x)=(0*(x-7)-1*5)/(x-7)^2=-5/(x-7)^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 1481 views around the world You can reuse this answer Creative Commons License