There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x - 2x(1 + 2{\frac{1}{(1 - {x}^{2})}}^{\frac{1}{2}})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -x - \frac{4x}{(-x^{2} + 1)^{\frac{1}{2}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -x - \frac{4x}{(-x^{2} + 1)^{\frac{1}{2}}}\right)}{dx}\\=&-1 - 4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x - \frac{4}{(-x^{2} + 1)^{\frac{1}{2}}}\\=& - \frac{4x^{2}}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{4}{(-x^{2} + 1)^{\frac{1}{2}}} - 1\\ \end{split}\end{equation} \]

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