There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(x) + cot(x) + \frac{1}{tan(x)} + csc(x) + 1\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(x) + cot(x) + \frac{1}{tan(x)} + csc(x) + 1\right)}{dx}\\=&cos(x) + -csc^{2}(x) + \frac{-sec^{2}(x)(1)}{tan^{2}(x)} + -csc(x)cot(x) + 0\\=&cos(x) - csc^{2}(x) - \frac{sec^{2}(x)}{tan^{2}(x)} - cot(x)csc(x)\\ \end{split}\end{equation} \]

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