There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 7.63471648e^{-5}{x}^{3} + 1.67826283e^{-1}{x}^{2} - 3.94878901e + x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 7.63471648x^{3}e^{-5} + 1.67826283x^{2}e^{-1} - 3.94878901e + x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 7.63471648x^{3}e^{-5} + 1.67826283x^{2}e^{-1} - 3.94878901e + x\right)}{dx}\\=&7.63471648*3x^{2}e^{-5} + 7.63471648x^{3}e^{-5}*0 + 1.67826283*2xe^{-1} + 1.67826283x^{2}e^{-1}*0 - 3.94878901*0 + 1\\=&22.90414944x^{2}e^{-5} + 3.35652566xe^{-1} + 1\\ \end{split}\end{equation} \]

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