There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{10sin(\frac{2}{5}{x}^{2})}{({x}^{2} - x + 3)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{10sin(\frac{2}{5}x^{2})}{(x^{2} - x + 3)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{10sin(\frac{2}{5}x^{2})}{(x^{2} - x + 3)}\right)}{dx}\\=&10(\frac{-(2x - 1 + 0)}{(x^{2} - x + 3)^{2}})sin(\frac{2}{5}x^{2}) + \frac{10cos(\frac{2}{5}x^{2})*\frac{2}{5}*2x}{(x^{2} - x + 3)}\\=&\frac{-20xsin(\frac{2}{5}x^{2})}{(x^{2} - x + 3)^{2}} + \frac{10sin(\frac{2}{5}x^{2})}{(x^{2} - x + 3)^{2}} + \frac{8xcos(\frac{2}{5}x^{2})}{(x^{2} - x + 3)}\\ \end{split}\end{equation} \]

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