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

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