There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x(-0.1996{e}^{(0.38x)} + 5.0431)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -0.1996x{e}^{(0.38x)} + 5.0431x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -0.1996x{e}^{(0.38x)} + 5.0431x\right)}{dx}\\=&-0.1996{e}^{(0.38x)} - 0.1996x({e}^{(0.38x)}((0.38)ln(e) + \frac{(0.38x)(0)}{(e)})) + 5.0431\\=&-0.1996{e}^{(0.38x)} - 0.075848x{e}^{(0.38x)} + 5.0431\\ \end{split}\end{equation} \]

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