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

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