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

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