There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(arcsin(1 - x))}{sqrt(4 - x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{arcsin(-x + 1)}{sqrt(-x + 4)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{arcsin(-x + 1)}{sqrt(-x + 4)}\right)}{dx}\\=&\frac{(\frac{(-1 + 0)}{((1 - (-x + 1)^{2})^{\frac{1}{2}})})}{sqrt(-x + 4)} + \frac{arcsin(-x + 1)*-(-1 + 0)*\frac{1}{2}}{(-x + 4)(-x + 4)^{\frac{1}{2}}}\\=&\frac{-1}{(-x^{2} + 2x)^{\frac{1}{2}}sqrt(-x + 4)} + \frac{arcsin(-x + 1)}{2(-x + 4)^{\frac{3}{2}}}\\ \end{split}\end{equation} \]

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