Differentiate \(\sqrt{\frac{x+1}{3x-1}}\) with respect to x.

• A. \(\frac{-2}{(3x-1)\sqrt{(3x-1)(x+1)}}\)
• B. \(\frac{2}{(3x-1)\sqrt{(3x-1)(x+1)}}\)
• C. \(\frac{1}{(3x-1)\sqrt{(3x-1)(x+1)}}\)
• D. \(\frac{-2}{\sqrt{(3x-1)(x+1)}}\)