The problem is to use the quotient rule to find the derivation of: f(x) = x / (x + (c/x))

I keep using the quotient rule over and over again with no success. Am I supposed to separately use the rule on c/x, and then use it on the whole function? Whether I am or not, could you please go through the problem step by step? I keep trying different ways to figure it out; I am unsure whether it is a problem with strategy or with algebra. Thanks.