There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{(100 - 1)}{(1 - x)}^{(250 - 1)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (-x + 1)^{249}x^{99}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (-x + 1)^{249}x^{99}\right)}{dx}\\=&(249(-x + 1)^{248}(-1 + 0))x^{99} + (-x + 1)^{249}*99x^{98}\\=&-249(-x + 1)^{248}x^{99} + 99(-x + 1)^{249}x^{98}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！