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

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