How do you use the Quotient Rule to prove the Reciprocal Rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Jim H Mar 30, 2015 #d/(dx)(f(x)/g(x)) = (f'(x) g(x) - f(x) g'(x))/ (g(x))^2# and #d/(dx)(1)=0# #d/(dx)(1/g(x)) = (0* g(x) - 1* g'(x))/ (g(x))^2 = (- g'(x))/ (g(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 3894 views around the world You can reuse this answer Creative Commons License