There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{12}e^{x}cot(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{12}e^{x}cot(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{12}e^{x}cot(x)\right)}{dx}\\=&12x^{11}e^{x}cot(x) + x^{12}e^{x}cot(x) + x^{12}e^{x}*-csc^{2}(x)\\=&12x^{11}e^{x}cot(x) + x^{12}e^{x}cot(x) - x^{12}e^{x}csc^{2}(x)\\ \end{split}\end{equation} \]

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