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

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