There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ cot(180x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( cot(180x)\right)}{dx}\\=&-csc^{2}(180x)*180\\=&-180csc^{2}(180x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -180csc^{2}(180x)\right)}{dx}\\=&-180*-2csc^{2}(180x)cot(180x)*180\\=&64800cot(180x)csc^{2}(180x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 64800cot(180x)csc^{2}(180x)\right)}{dx}\\=&64800*-csc^{2}(180x)*180csc^{2}(180x) + 64800cot(180x)*-2csc^{2}(180x)cot(180x)*180\\=&-11664000csc^{4}(180x) - 23328000cot^{2}(180x)csc^{2}(180x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( -11664000csc^{4}(180x) - 23328000cot^{2}(180x)csc^{2}(180x)\right)}{dx}\\=&-11664000*-4csc^{4}(180x)cot(180x)*180 - 23328000*-2cot(180x)csc^{2}(180x)*180csc^{2}(180x) - 23328000cot^{2}(180x)*-2csc^{2}(180x)cot(180x)*180\\=&16796160000cot(180x)csc^{4}(180x) + 8398080000cot^{3}(180x)csc^{2}(180x)\\ \end{split}\end{equation} \]

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