First post on the forum, but regardless of which, need some assistance.

I have the following equation: \(\displaystyle f(x)=\frac{x}{x+3}\)

My purpose is, to quote the text:

I know I must take the derivative of the equation to find the cp's, however, I don't know exactly how to do it "the shortcut way" (where the fraction is made into a negative exponential power).Find the critical numbers off(if any). Find the open intervals on which the function is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results.

When I use the quotient rule, I get the following: \(\displaystyle f'(x)=\frac{3}{(x+3)^2}\)

After that, I'm not sure how to factor the equation to get the cp's. I know that's done by setting it equal to zero; factoring is where I'm (Headbang).