There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x + 4)(x + 3){(x + 2)}^{2}{(x + 1)}^{2}{x}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{8} + 13x^{7} + 67x^{6} + 175x^{5} + 244x^{4} + 172x^{3} + 48x^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{8} + 13x^{7} + 67x^{6} + 175x^{5} + 244x^{4} + 172x^{3} + 48x^{2}\right)}{dx}\\=&8x^{7} + 13*7x^{6} + 67*6x^{5} + 175*5x^{4} + 244*4x^{3} + 172*3x^{2} + 48*2x\\=&8x^{7} + 91x^{6} + 402x^{5} + 875x^{4} + 976x^{3} + 516x^{2} + 96x\\ \end{split}\end{equation} \]

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