There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x(1 - x)(x(a) + (1 - x)b)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - ax^{3} + bx + bx^{3} + ax^{2} - 2bx^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - ax^{3} + bx + bx^{3} + ax^{2} - 2bx^{2}\right)}{dx}\\=& - a*3x^{2} + b + b*3x^{2} + a*2x - 2b*2x\\=& - 3ax^{2} + 3bx^{2} - 4bx + 2ax + b\\ \end{split}\end{equation} \]

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