There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(x) - (\frac{4x}{(x + {e}^{2})})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(x) - \frac{4x}{(x + e^{2})}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(x) - \frac{4x}{(x + e^{2})}\right)}{dx}\\=&\frac{1}{(x)} - 4(\frac{-(1 + 2e*0)}{(x + e^{2})^{2}})x - \frac{4}{(x + e^{2})}\\=&\frac{1}{x} + \frac{4x}{(x + e^{2})^{2}} - \frac{4}{(x + e^{2})}\\ \end{split}\end{equation} \]

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