How do you find the derivative of #3/(3x+3)#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Anish M. Mar 24, 2018 #dy/dx=-1/(x+1)^2# Explanation: #y=3/(3x+3)# #y=1/(x+1)# #dy/dx=d/dx (1/(x+1))# #dy/dx=(-1/(x+1)^2)*d/dx (x+1)# #dy/dx=(-1/(x+1)^2)*1# #dy/dx=-1/(x+1)^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 1560 views around the world You can reuse this answer Creative Commons License