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

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