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

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