There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 500*0.05(15.3879x - 0.816444{x}^{1.5} + 2.31126{x}^{3} - 33.74)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 384.6975x - 20.4111x^{\frac{3}{2}} + 57.7815x^{3} - 843.5\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 384.6975x - 20.4111x^{\frac{3}{2}} + 57.7815x^{3} - 843.5\right)}{dx}\\=&384.6975 - 20.4111*1.5x^{\frac{1}{2}} + 57.7815*3x^{2} + 0\\=& - 30.61665x^{\frac{1}{2}} + 173.3445x^{2} + 384.6975\\ \end{split}\end{equation} \]

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