There are 1 questions in this calculation: for each question, the 1 derivative of X is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{0.725265*0.032518e^{0.376532X}}{(0.725265 + 0.032518(e^{0.376532X} - 1))}\ with\ respect\ to\ X：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{0.02358416727e^{0.376532X}}{(0.032518e^{0.376532X} + 0.692747)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{0.02358416727e^{0.376532X}}{(0.032518e^{0.376532X} + 0.692747)}\right)}{dX}\\=&0.02358416727(\frac{-(0.032518e^{0.376532X}*0.376532 + 0)}{(0.032518e^{0.376532X} + 0.692747)^{2}})e^{0.376532X} + \frac{0.02358416727e^{0.376532X}*0.376532}{(0.032518e^{0.376532X} + 0.692747)}\\=&\frac{-0.0002887661378e^{0.376532X}e^{0.376532X}}{(0.032518e^{0.376532X} + 0.692747)(0.032518e^{0.376532X} + 0.692747)} + \frac{0.00888019367050764e^{0.376532X}}{(0.032518e^{0.376532X} + 0.692747)}\\ \end{split}\end{equation} \]

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