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

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