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

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