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

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