There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (X - 1)(x - 2)(x - 3)(x - 4)(x - 5)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = Xx^{4} - 14Xx^{3} + 71Xx^{2} - 154Xx + 120X - x^{4} + 14x^{3} - 71x^{2} + 154x - 120\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( Xx^{4} - 14Xx^{3} + 71Xx^{2} - 154Xx + 120X - x^{4} + 14x^{3} - 71x^{2} + 154x - 120\right)}{dx}\\=&X*4x^{3} - 14X*3x^{2} + 71X*2x - 154X + 0 - 4x^{3} + 14*3x^{2} - 71*2x + 154 + 0\\=&4Xx^{3} - 42Xx^{2} + 142Xx - 154X - 4x^{3} + 42x^{2} - 142x + 154\\ \end{split}\end{equation} \]

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