There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x(x - 1)(x - 2)(x - 3)(x - 4)(x - 5)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{6} - 15x^{5} + 85x^{4} - 225x^{3} + 274x^{2} - 120x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{6} - 15x^{5} + 85x^{4} - 225x^{3} + 274x^{2} - 120x\right)}{dx}\\=&6x^{5} - 15*5x^{4} + 85*4x^{3} - 225*3x^{2} + 274*2x - 120\\=&6x^{5} - 75x^{4} + 340x^{3} - 675x^{2} + 548x - 120\\ \end{split}\end{equation} \]

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