There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{x({x}^{2} + 3a)}{(3{x}^{2} + a)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{3}}{(3x^{2} + a)} + \frac{3ax}{(3x^{2} + a)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{x^{3}}{(3x^{2} + a)} + \frac{3ax}{(3x^{2} + a)}\right)}{dx}\\=&(\frac{-(3*2x + 0)}{(3x^{2} + a)^{2}})x^{3} + \frac{3x^{2}}{(3x^{2} + a)} + 3(\frac{-(3*2x + 0)}{(3x^{2} + a)^{2}})ax + \frac{3a}{(3x^{2} + a)}\\=&\frac{-6x^{4}}{(3x^{2} + a)^{2}} + \frac{3x^{2}}{(3x^{2} + a)} - \frac{18ax^{2}}{(3x^{2} + a)^{2}} + \frac{3a}{(3x^{2} + a)}\\ \end{split}\end{equation} \]

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