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

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