There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-1}{((\frac{4{(1 - {(\frac{0.5}{x})}^{2})}^{0.5}}{(3.1416x)}))}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-0.7854x}{(\frac{-0.5}{x} + 1)^{\frac{1}{2}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{-0.7854x}{(\frac{-0.5}{x} + 1)^{\frac{1}{2}}}\right)}{dx}\\=&-0.7854(\frac{-0.5(\frac{-0.5*-1}{x^{2}} + 0)}{(\frac{-0.5}{x} + 1)^{\frac{3}{2}}})x - \frac{0.7854}{(\frac{-0.5}{x} + 1)^{\frac{1}{2}}}\\=&\frac{0.19635}{(\frac{-0.5}{x} + 1)^{\frac{3}{2}}x} - \frac{0.7854}{(\frac{-0.5}{x} + 1)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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