There are 1 questions in this calculation: for each question, the 1 derivative of X is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}\ with\ respect\ to\ X：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}\right)}{dX}\\=&({{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}((1)ln({{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}) + \frac{(X)(({{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}((1)ln({{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}) + \frac{(X)(({{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}((1)ln({{{{X}^{X}}^{X}}^{X}}^{X}) + \frac{(X)(({{{{X}^{X}}^{X}}^{X}}^{X}((1)ln({{{X}^{X}}^{X}}^{X}) + \frac{(X)(({{{X}^{X}}^{X}}^{X}((1)ln({{X}^{X}}^{X}) + \frac{(X)(({{X}^{X}}^{X}((1)ln({X}^{X}) + \frac{(X)(({X}^{X}((1)ln(X) + \frac{(X)(1)}{(X)})))}{({X}^{X})})))}{({{X}^{X}}^{X})})))}{({{{X}^{X}}^{X}}^{X})})))}{({{{{X}^{X}}^{X}}^{X}}^{X})})))}{({{{{{X}^{X}}^{X}}^{X}}^{X}}^{X})})))}{({{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X})}))\\=&{{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}ln({{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}) + X{{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}ln({{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}) + X^{2}{{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}ln({{{{X}^{X}}^{X}}^{X}}^{X}) + X^{3}{{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}ln({{{X}^{X}}^{X}}^{X}) + X^{4}{{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}ln({{X}^{X}}^{X}) + X^{5}{{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}ln({X}^{X}) + X^{6}{{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}ln(X) + X^{6}{{{{{{{X}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}}^{X}\\ \end{split}\end{equation} \]

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