Can someone please help me out with this.

Differentiate square root of x divided by x^2+3

The work i've done:

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

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

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

After that it's all blurry, not sure what to do....

thanks for the help in advance.