There are 1 questions in this calculation: for each question, the 1 derivative of u is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{4}{(4 + {\frac{1}{(\frac{1}{u} - 1)}}^{2})}\ with\ respect\ to\ u：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{4}{(\frac{1}{(\frac{1}{u} - 1)^{2}} + 4)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{4}{(\frac{1}{(\frac{1}{u} - 1)^{2}} + 4)}\right)}{du}\\=&4(\frac{-((\frac{-2(\frac{-1}{u^{2}} + 0)}{(\frac{1}{u} - 1)^{3}}) + 0)}{(\frac{1}{(\frac{1}{u} - 1)^{2}} + 4)^{2}})\\=&\frac{-8}{(\frac{1}{(\frac{1}{u} - 1)^{2}} + 4)^{2}(\frac{1}{u} - 1)^{3}u^{2}}\\ \end{split}\end{equation} \]

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