There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x - 1)}^{2}{(x - 3)}^{3}{(x - 5)}^{4}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{9} - 31x^{8} + 416x^{7} - 3160x^{6} + 14906x^{5} - 45022x^{4} + 86440x^{3} - 100800x^{2} + 64125x - 16875\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{9} - 31x^{8} + 416x^{7} - 3160x^{6} + 14906x^{5} - 45022x^{4} + 86440x^{3} - 100800x^{2} + 64125x - 16875\right)}{dx}\\=&9x^{8} - 31*8x^{7} + 416*7x^{6} - 3160*6x^{5} + 14906*5x^{4} - 45022*4x^{3} + 86440*3x^{2} - 100800*2x + 64125 + 0\\=&9x^{8} - 248x^{7} + 2912x^{6} - 18960x^{5} + 74530x^{4} - 180088x^{3} + 259320x^{2} - 201600x + 64125\\ \end{split}\end{equation} \]

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