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

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