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





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