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

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