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

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