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

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