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

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