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

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