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

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