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





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