There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {((x - 1)(x - 2)(x - 3)(x - 4))}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{8} - 20x^{7} + 170x^{6} - 800x^{5} + 2273x^{4} - 3980x^{3} + 4180x^{2} - 2400x + 576\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{8} - 20x^{7} + 170x^{6} - 800x^{5} + 2273x^{4} - 3980x^{3} + 4180x^{2} - 2400x + 576\right)}{dx}\\=&8x^{7} - 20*7x^{6} + 170*6x^{5} - 800*5x^{4} + 2273*4x^{3} - 3980*3x^{2} + 4180*2x - 2400 + 0\\=&8x^{7} - 140x^{6} + 1020x^{5} - 4000x^{4} + 9092x^{3} - 11940x^{2} + 8360x - 2400\\ \end{split}\end{equation} \]

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