There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{{((x - 1){(x - 2)}^{2})}^{1}}{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{3}x^{3} - \frac{5}{3}x^{2} + \frac{8}{3}x - \frac{4}{3}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{3}x^{3} - \frac{5}{3}x^{2} + \frac{8}{3}x - \frac{4}{3}\right)}{dx}\\=&\frac{1}{3}*3x^{2} - \frac{5}{3}*2x + \frac{8}{3} + 0\\=&x^{2} - \frac{10x}{3} + \frac{8}{3}\\ \end{split}\end{equation} \]

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