There are 1 questions in this calculation: for each question, the 4 derivative of q is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{Q}}}}}}}}}}\ with\ respect\ to\ q：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{Q}}}}}}}}}}\right)}{dq}\\=&e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{Q}}}}}}}}}}e^{e^{e^{e^{e^{e^{e^{e^{e^{Q}}}}}}}}}e^{e^{e^{e^{e^{e^{e^{e^{Q}}}}}}}}e^{e^{e^{e^{e^{e^{e^{Q}}}}}}}e^{e^{e^{e^{e^{e^{Q}}}}}}e^{e^{e^{e^{e^{Q}}}}}e^{e^{e^{e^{Q}}}}e^{e^{e^{Q}}}e^{e^{Q}}e^{Q}*0\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dq}\\=&0\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dq}\\=&0\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dq}\\=&0\\ \end{split}\end{equation} \]

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