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

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