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

Your problem has not been solved here? Please take a look at the  hot problems ！