There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arctan(3{x}^{2} + 9x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arctan(3x^{2} + 9x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( arctan(3x^{2} + 9x)\right)}{dx}\\=&(\frac{(3*2x + 9)}{(1 + (3x^{2} + 9x)^{2})})\\=&\frac{6x}{(9x^{4} + 54x^{3} + 81x^{2} + 1)} + \frac{9}{(9x^{4} + 54x^{3} + 81x^{2} + 1)}\\ \end{split}\end{equation} \]

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