There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 1.772(\frac{x}{647.286} - 0.8978){e}^{(\frac{-*11.6x}{647.286})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 0.00273758431358009x{e}^{(-0.0179209808338x)} - 1.5909016{e}^{(-0.0179209808338x)}\right)}{dx}\\=&0.00273758431358009{e}^{(-0.0179209808338x)} + 0.00273758431358009x({e}^{(-0.0179209808338x)}((-0.0179209808338)ln(e) + \frac{(-0.0179209808338x)(0)}{(e)})) - 1.5909016({e}^{(-0.0179209808338x)}((-0.0179209808338)ln(e) + \frac{(-0.0179209808338x)(0)}{(e)}))\\=&0.00273758431358009{e}^{(-0.0179209808338x)} - 0.000049060196014635x{e}^{(-0.0179209808338x)} + 0.0285105170820935{e}^{(-0.0179209808338x)}\\ \end{split}\end{equation} \]

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