There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt(abs + (\frac{a}{x})){\frac{1}{x}}^{(πa)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {\frac{1}{x}}^{(aπ)}sqrt(abs + \frac{a}{x})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {\frac{1}{x}}^{(aπ)}sqrt(abs + \frac{a}{x})\right)}{dx}\\=&({\frac{1}{x}}^{(aπ)}((0)ln(\frac{1}{x}) + \frac{(aπ)(\frac{-1}{x^{2}})}{(\frac{1}{x})}))sqrt(abs + \frac{a}{x}) + \frac{{\frac{1}{x}}^{(aπ)}(0 + \frac{a*-1}{x^{2}})*\frac{1}{2}}{(abs + \frac{a}{x})^{\frac{1}{2}}}\\=&\frac{-aπ{\frac{1}{x}}^{(aπ)}sqrt(abs + \frac{a}{x})}{x} - \frac{a{\frac{1}{x}}^{(aπ)}}{2(abs + \frac{a}{x})^{\frac{1}{2}}x^{2}}\\ \end{split}\end{equation} \]

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