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

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