There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(1 - 2sin(x))}^{7}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (-2sin(x) + 1)^{7}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (-2sin(x) + 1)^{7}\right)}{dx}\\=&(7(-2sin(x) + 1)^{6}(-2cos(x) + 0))\\=&-14(-2sin(x) + 1)^{6}cos(x)\\ \end{split}\end{equation} \]

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