There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x - 1)}^{2}{(x - 2)}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{5} - 8x^{4} + 25x^{3} - 38x^{2} + 28x - 8\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{5} - 8x^{4} + 25x^{3} - 38x^{2} + 28x - 8\right)}{dx}\\=&5x^{4} - 8*4x^{3} + 25*3x^{2} - 38*2x + 28 + 0\\=&5x^{4} - 32x^{3} + 75x^{2} - 76x + 28\\ \end{split}\end{equation} \]

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