There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 3800 + 5x + 0.01{x}^{2} + 0.0002{x}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5x + 0.01x^{2} + 0.0002x^{3} + 3800\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 5x + 0.01x^{2} + 0.0002x^{3} + 3800\right)}{dx}\\=&5 + 0.01*2x + 0.0002*3x^{2} + 0\\=&0.02x + 0.0006x^{2} + 5\\ \end{split}\end{equation} \]

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