There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x + 2){(2x + 3)}^{2}{(3x + 4)}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 108x^{6} + 972x^{5} + 3627x^{4} + 7186x^{3} + 7976x^{2} + 4704x + 1152\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 108x^{6} + 972x^{5} + 3627x^{4} + 7186x^{3} + 7976x^{2} + 4704x + 1152\right)}{dx}\\=&108*6x^{5} + 972*5x^{4} + 3627*4x^{3} + 7186*3x^{2} + 7976*2x + 4704 + 0\\=&648x^{5} + 4860x^{4} + 14508x^{3} + 21558x^{2} + 15952x + 4704\\ \end{split}\end{equation} \]

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