There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (1 + 2x){(2 + 3x)}^{2}{(3 + 4x)}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 288x^{5} + 960x^{4} + 1274x^{3} + 841x^{2} + 276x + 36\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 288x^{5} + 960x^{4} + 1274x^{3} + 841x^{2} + 276x + 36\right)}{dx}\\=&288*5x^{4} + 960*4x^{3} + 1274*3x^{2} + 841*2x + 276 + 0\\=&1440x^{4} + 3840x^{3} + 3822x^{2} + 1682x + 276\\ \end{split}\end{equation} \]

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