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

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