There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x - 1){\frac{1}{({x}^{2} - 2x + 4)}}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x}{(x^{2} - 2x + 4)^{2}} - \frac{1}{(x^{2} - 2x + 4)^{2}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{x}{(x^{2} - 2x + 4)^{2}} - \frac{1}{(x^{2} - 2x + 4)^{2}}\right)}{dx}\\=&(\frac{-2(2x - 2 + 0)}{(x^{2} - 2x + 4)^{3}})x + \frac{1}{(x^{2} - 2x + 4)^{2}} - (\frac{-2(2x - 2 + 0)}{(x^{2} - 2x + 4)^{3}})\\=&\frac{-4x^{2}}{(x^{2} - 2x + 4)^{3}} + \frac{8x}{(x^{2} - 2x + 4)^{3}} + \frac{1}{(x^{2} - 2x + 4)^{2}} - \frac{4}{(x^{2} - 2x + 4)^{3}}\\ \end{split}\end{equation} \]

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