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

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