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

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