There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(2x - 2)}^{4}{(x*2 + x + 1)}^{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 3888x^{9} - 9072x^{8} + 1728x^{7} + 7488x^{6} - 1632x^{5} - 3104x^{4} - 64x^{3} + 576x^{2} + 176x + 16\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 3888x^{9} - 9072x^{8} + 1728x^{7} + 7488x^{6} - 1632x^{5} - 3104x^{4} - 64x^{3} + 576x^{2} + 176x + 16\right)}{dx}\\=&3888*9x^{8} - 9072*8x^{7} + 1728*7x^{6} + 7488*6x^{5} - 1632*5x^{4} - 3104*4x^{3} - 64*3x^{2} + 576*2x + 176 + 0\\=&34992x^{8} - 72576x^{7} + 12096x^{6} + 44928x^{5} - 8160x^{4} - 12416x^{3} - 192x^{2} + 1152x + 176\\ \end{split}\end{equation} \]

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