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

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