There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 30ln(\frac{({x}^{2} - 1)}{({x}^{2} + 1)})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 30ln(\frac{x^{2}}{(x^{2} + 1)} - \frac{1}{(x^{2} + 1)})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 30ln(\frac{x^{2}}{(x^{2} + 1)} - \frac{1}{(x^{2} + 1)})\right)}{dx}\\=&\frac{30((\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{2} + \frac{2x}{(x^{2} + 1)} - (\frac{-(2x + 0)}{(x^{2} + 1)^{2}}))}{(\frac{x^{2}}{(x^{2} + 1)} - \frac{1}{(x^{2} + 1)})}\\=&\frac{-60x^{3}}{(\frac{x^{2}}{(x^{2} + 1)} - \frac{1}{(x^{2} + 1)})(x^{2} + 1)^{2}} + \frac{60x}{(x^{2} + 1)(\frac{x^{2}}{(x^{2} + 1)} - \frac{1}{(x^{2} + 1)})} + \frac{60x}{(\frac{x^{2}}{(x^{2} + 1)} - \frac{1}{(x^{2} + 1)})(x^{2} + 1)^{2}}\\ \end{split}\end{equation} \]

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