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

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