There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x - 1){(x + 1)}^{6}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (x + 1)^{6}x - (x + 1)^{6}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (x + 1)^{6}x - (x + 1)^{6}\right)}{dx}\\=&(6(x + 1)^{5}(1 + 0))x + (x + 1)^{6} - (6(x + 1)^{5}(1 + 0))\\=&6x^{6} + 24x^{5} + 30x^{4} + (x + 1)^{6} - 30x^{2} - 24x - 6\\ \end{split}\end{equation} \]

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