# How do you find the derivative of #(x+2)/(x+3)#?

##### 2 Answers

Apr 24, 2016

#d/(dx) ((x+2)/(x+3)) = 1/(x+3)^2#

#### Explanation:

#(x+2)/(x+3) = (x+3-1)/(x+3) = 1-1/(x+3) = 1-(x+3)^(-1)#

So, using the power rule and chain rule:

#d/(dx) ((x+2)/(x+3)) = d/(dx) (1-(x+3)^(-1)) = (x+3)^(-2) = 1/(x+3)^2#

Apr 24, 2016