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

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