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

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