Quotient Rule Problem

[Vader07]

hey guys I need help with this quotient rule problem:

d / dx 1 - square root of x / 1 + square root of x

I just dont know what to start since there is a square root in this problem and I dont know how to deal with it. Any help would be appreciated.

 

[BigGlenntheHeavy]

$\displaystyle D_x \ \bigg[\frac{(1-x^{1/2})}{(1+x^{1/2})}\bigg] \ = \ \frac{(1+x^{1/2})[(-1/2)x^{-1/2}-(1-x^{1/2})(1/2)x^{-1/2}}{(1+x^{1/2})^{2}}$

$\displaystyle = \ \frac{-1-x^{1/2}-1+x^{1/2}}{2x^{1/2}(1+x^{1/2})^{2}} \ = \ \frac{-1}{x^{1/2}(1+x^{1/2})^{2}}$