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

Your problem has not been solved here? Please take a look at the  hot problems ！