thanks for your help man! But on that last one you did, I don't know if I mistyped it, or you misread it, but the whole thing was supposed to be square rooted. And sorry for not showing my work... if you're going to take the time to help me... I guess I should take the time to help you help me

It was supposed to be ln[sqrt{(2x^(2)+1)/(2x-1)}]

First I got

1/sqrt[(2x^(2) + 1)/(2x-1)] * 1/2 * [(2x^(2) + 1)/(2x-1)]^(-1/2) * [(2x-1)(4x) - (2x^(2) + 1)(2)]/(2x-1)^2] by using the quotien rule

then

(4x^(2) - 4x - 2)/2(2x^(2) + 1)(2x-1) which i factored out a 2 and got

(2x^(2) - 2x - 1)/[(2x^(2) * (2x-1)]