There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{({3}^{(-2x + 8)})}{x}) + \frac{480}{(x + 2)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{{3}^{(-2x + 8)}}{x} + \frac{480}{(x + 2)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{{3}^{(-2x + 8)}}{x} + \frac{480}{(x + 2)}\right)}{dx}\\=&\frac{-{3}^{(-2x + 8)}}{x^{2}} + \frac{({3}^{(-2x + 8)}((-2 + 0)ln(3) + \frac{(-2x + 8)(0)}{(3)}))}{x} + 480(\frac{-(1 + 0)}{(x + 2)^{2}})\\=&\frac{-2 * {3}^{(-2x + 8)}ln(3)}{x} - \frac{{3}^{(-2x + 8)}}{x^{2}} - \frac{480}{(x + 2)^{2}}\\ \end{split}\end{equation} \]

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