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

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