There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{2pixcos(\frac{pi{x}^{2}}{3})}{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{2}{3}pixcos(\frac{1}{3}pix^{2})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{2}{3}pixcos(\frac{1}{3}pix^{2})\right)}{dx}\\=&\frac{2}{3}picos(\frac{1}{3}pix^{2}) + \frac{2}{3}pix*-sin(\frac{1}{3}pix^{2})*\frac{1}{3}pi*2x\\=&\frac{2picos(\frac{1}{3}pix^{2})}{3} - \frac{4p^{2}i^{2}x^{2}sin(\frac{1}{3}pix^{2})}{9}\\ \end{split}\end{equation} \]

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