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

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