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

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