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

Your problem has not been solved here? Please take a look at the  hot problems ！