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

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