There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{2}{(x - 2)}^{3}(x + 1)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{6} - 5x^{5} + 6x^{4} + 4x^{3} - 8x^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{6} - 5x^{5} + 6x^{4} + 4x^{3} - 8x^{2}\right)}{dx}\\=&6x^{5} - 5*5x^{4} + 6*4x^{3} + 4*3x^{2} - 8*2x\\=&6x^{5} - 25x^{4} + 24x^{3} + 12x^{2} - 16x\\ \end{split}\end{equation} \]

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