There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ((1 - x){(1 - {x}^{50})}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -x^{101} + 2x^{51} - x + x^{100} - 2x^{50} + 1\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -x^{101} + 2x^{51} - x + x^{100} - 2x^{50} + 1\right)}{dx}\\=&-101x^{100} + 2*51x^{50} - 1 + 100x^{99} - 2*50x^{49} + 0\\=&-101x^{100} + 102x^{50} + 100x^{99} - 100x^{49} - 1\\ \end{split}\end{equation} \]

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