There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (6 + 5x){(4 + 3x)}^{2}{(2 + x)}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 45x^{6} + 444x^{5} + 1808x^{4} + 3888x^{3} + 4656x^{2} + 2944x + 768\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 45x^{6} + 444x^{5} + 1808x^{4} + 3888x^{3} + 4656x^{2} + 2944x + 768\right)}{dx}\\=&45*6x^{5} + 444*5x^{4} + 1808*4x^{3} + 3888*3x^{2} + 4656*2x + 2944 + 0\\=&270x^{5} + 2220x^{4} + 7232x^{3} + 11664x^{2} + 9312x + 2944\\ \end{split}\end{equation} \]

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