There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x - 1)(x - 2)(x - 3)(x - 4)(x - 5)(x - 6)(x - 7)(x - 8)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{8} - 36x^{7} + 546x^{6} - 4536x^{5} + 22449x^{4} - 67284x^{3} + 118124x^{2} - 109584x + 40320\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{8} - 36x^{7} + 546x^{6} - 4536x^{5} + 22449x^{4} - 67284x^{3} + 118124x^{2} - 109584x + 40320\right)}{dx}\\=&8x^{7} - 36*7x^{6} + 546*6x^{5} - 4536*5x^{4} + 22449*4x^{3} - 67284*3x^{2} + 118124*2x - 109584 + 0\\=&8x^{7} - 252x^{6} + 3276x^{5} - 22680x^{4} + 89796x^{3} - 201852x^{2} + 236248x - 109584\\ \end{split}\end{equation} \]

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