There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 16{e}^{(\frac{-6}{5}(x - \frac{1}{2}))}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 16{e}^{(\frac{-6}{5}x + \frac{3}{5})}\right)}{dx}\\=&16({e}^{(\frac{-6}{5}x + \frac{3}{5})}((\frac{-6}{5} + 0)ln(e) + \frac{(\frac{-6}{5}x + \frac{3}{5})(0)}{(e)}))\\=&\frac{-96{e}^{(\frac{-6}{5}x + \frac{3}{5})}}{5}\\ \end{split}\end{equation} \]

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