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

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