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

Your problem has not been solved here? Please take a look at the  hot problems ！