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

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