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

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