There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ e^{({\frac{1}{x}}^{2})(ln(x))}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{\frac{ln(x)}{x^{2}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( e^{\frac{ln(x)}{x^{2}}}\right)}{dx}\\=&e^{\frac{ln(x)}{x^{2}}}(\frac{-2ln(x)}{x^{3}} + \frac{1}{x^{2}(x)})\\=&\frac{-2e^{\frac{ln(x)}{x^{2}}}ln(x)}{x^{3}} + \frac{e^{\frac{ln(x)}{x^{2}}}}{x^{3}}\\ \end{split}\end{equation} \]

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