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

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