There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 120{x}^{3}{(1 - x)}^{7}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 120(-x + 1)^{7}x^{3}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 120(-x + 1)^{7}x^{3}\right)}{dx}\\=&120(7(-x + 1)^{6}(-1 + 0))x^{3} + 120(-x + 1)^{7}*3x^{2}\\=&-840(-x + 1)^{6}x^{3} + 360(-x + 1)^{7}x^{2}\\ \end{split}\end{equation} \]

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