There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x(1 - x)(S - P + (R - T - S + P)Y)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - Sx^{2} + Px^{2} - RYx^{2} + TYx^{2} + SYx^{2} - PYx^{2} + Sx - Px + RYx - TYx - SYx + PYx\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - Sx^{2} + Px^{2} - RYx^{2} + TYx^{2} + SYx^{2} - PYx^{2} + Sx - Px + RYx - TYx - SYx + PYx\right)}{dx}\\=& - S*2x + P*2x - RY*2x + TY*2x + SY*2x - PY*2x + S - P + RY - TY - SY + PY\\=& - 2Sx + 2Px - 2RYx + 2TYx + 2SYx - 2PYx - SY + PY + RY - TY + S - P\\ \end{split}\end{equation} \]

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