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

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