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

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