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

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