There are 1 questions in this calculation: for each question, the 1 derivative of w is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -{e}^{(-wx + b)}{({e}^{(-wx + b)} + 1)}^{2}\ with\ respect\ to\ w：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -{e}^{(3(-xw + b))} - 2{e}^{(2(-xw + b))} - {e}^{(-xw + b)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -{e}^{(3(-xw + b))} - 2{e}^{(2(-xw + b))} - {e}^{(-xw + b)}\right)}{dw}\\=&-({e}^{(3(-xw + b))}((3(-x + 0))ln(e) + \frac{(3(-xw + b))(0)}{(e)})) - 2({e}^{(2(-xw + b))}((2(-x + 0))ln(e) + \frac{(2(-xw + b))(0)}{(e)})) - ({e}^{(-xw + b)}((-x + 0)ln(e) + \frac{(-xw + b)(0)}{(e)}))\\=&3x{e}^{(-3xw + 3b)} + 4x{e}^{(-2xw + 2b)} + x{e}^{(-xw + b)}\\ \end{split}\end{equation} \]

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