There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt(200 - \frac{500x}{3})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(\frac{-500}{3}x + 200)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sqrt(\frac{-500}{3}x + 200)\right)}{dx}\\=&\frac{(\frac{-500}{3} + 0)*\frac{1}{2}}{(\frac{-500}{3}x + 200)^{\frac{1}{2}}}\\=&\frac{-250}{3(\frac{-500}{3}x + 200)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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