# Math Help - Differentiation of logs

1. ## Differentiation of logs

ln(x(x^2-1)^1/2), I tried, now I have splinters Send help!

2. Originally Posted by Neversh
ln(x(x^2-1)^1/2), I tried, now I have splinters Send help!
Maybe in this case it is easiest to first apply a little transformation, like this

$\Big(\ln(x(x^2-1)^{1/2})\Big)'=\left(\ln x+\frac{1}{2}\ln(x^2-1)\right)'=\frac{1}{x}+\frac{1}{2}\frac{1}{x^2-1}\cdot 2x=\ldots$