There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(ln(ln({(ln(x))}^{5})))}^{4}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln^{4}(ln(ln^{5}(x)))\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln^{4}(ln(ln^{5}(x)))\right)}{dx}\\=&\frac{4ln^{3}(ln(ln^{5}(x)))*5ln^{4}(x)}{(ln(ln^{5}(x)))(ln^{5}(x))(x)}\\=&\frac{20ln^{3}(ln(ln^{5}(x)))}{xln(x)ln(ln^{5}(x))}\\ \end{split}\end{equation} \]

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