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

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