There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt(\frac{(6x + 3)}{(6x - 3)})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(\frac{6x}{(6x - 3)} + \frac{3}{(6x - 3)})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sqrt(\frac{6x}{(6x - 3)} + \frac{3}{(6x - 3)})\right)}{dx}\\=&\frac{(6(\frac{-(6 + 0)}{(6x - 3)^{2}})x + \frac{6}{(6x - 3)} + 3(\frac{-(6 + 0)}{(6x - 3)^{2}}))*\frac{1}{2}}{(\frac{6x}{(6x - 3)} + \frac{3}{(6x - 3)})^{\frac{1}{2}}}\\=&\frac{-18x}{(6x - 3)^{2}(\frac{6x}{(6x - 3)} + \frac{3}{(6x - 3)})^{\frac{1}{2}}} - \frac{9}{(6x - 3)^{2}(\frac{6x}{(6x - 3)} + \frac{3}{(6x - 3)})^{\frac{1}{2}}} + \frac{3}{(6x - 3)(\frac{6x}{(6x - 3)} + \frac{3}{(6x - 3)})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！