There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x + 1)}^{3}{(x - 1)}^{4}{(x - 2)}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{9} - 5x^{8} + 5x^{7} + 11x^{6} - 21x^{5} - 3x^{4} + 23x^{3} - 7x^{2} - 8x + 4\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{9} - 5x^{8} + 5x^{7} + 11x^{6} - 21x^{5} - 3x^{4} + 23x^{3} - 7x^{2} - 8x + 4\right)}{dx}\\=&9x^{8} - 5*8x^{7} + 5*7x^{6} + 11*6x^{5} - 21*5x^{4} - 3*4x^{3} + 23*3x^{2} - 7*2x - 8 + 0\\=&9x^{8} - 40x^{7} + 35x^{6} + 66x^{5} - 105x^{4} - 12x^{3} + 69x^{2} - 14x - 8\\ \end{split}\end{equation} \]

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