There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x(x - 1)(x - 2)(x - 3)(x - 4)(x - 5)(x - 6)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{7} - 21x^{6} + 175x^{5} - 735x^{4} + 1624x^{3} - 1764x^{2} + 720x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{7} - 21x^{6} + 175x^{5} - 735x^{4} + 1624x^{3} - 1764x^{2} + 720x\right)}{dx}\\=&7x^{6} - 21*6x^{5} + 175*5x^{4} - 735*4x^{3} + 1624*3x^{2} - 1764*2x + 720\\=&7x^{6} - 126x^{5} + 875x^{4} - 2940x^{3} + 4872x^{2} - 3528x + 720\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！