There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5{(-x - 1)}^{-6}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{5}{(-x - 1)^{6}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{5}{(-x - 1)^{6}}\right)}{dx}\\=&5(\frac{-6(-1 + 0)}{(-x - 1)^{7}})\\=&\frac{30}{(-x - 1)^{7}}\\ \end{split}\end{equation} \]

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