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

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