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

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