There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(1 - {(1 + x)}^{-20})}{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{x} - \frac{1}{(x + 1)^{20}x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{x} - \frac{1}{(x + 1)^{20}x}\right)}{dx}\\=&\frac{-1}{x^{2}} - \frac{(\frac{-20(1 + 0)}{(x + 1)^{21}})}{x} - \frac{-1}{(x + 1)^{20}x^{2}}\\=&\frac{-1}{x^{2}} + \frac{20}{(x + 1)^{21}x} + \frac{1}{(x + 1)^{20}x^{2}}\\ \end{split}\end{equation} \]

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