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

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