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

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