There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arccot(\frac{(x + 3)}{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arccot(\frac{1}{2}x + \frac{3}{2})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( arccot(\frac{1}{2}x + \frac{3}{2})\right)}{dx}\\=&(\frac{(\frac{1}{2} + 0)}{(1 + (\frac{1}{2}x + \frac{3}{2})^{2})})\\=&\frac{1}{2(\frac{1}{4}x^{2} + \frac{3}{2}x + \frac{13}{4})}\\ \end{split}\end{equation} \]

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