There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(X - Y)}^{3}(X - Y){(Y - X)}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 15X^{4}Y^{2} - 6X^{5}Y - 20X^{3}Y^{3} + 15X^{2}Y^{4} - 6XY^{5} + X^{6} + Y^{6}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 15X^{4}Y^{2} - 6X^{5}Y - 20X^{3}Y^{3} + 15X^{2}Y^{4} - 6XY^{5} + X^{6} + Y^{6}\right)}{dx}\\=&0 + 0 + 0 + 0 + 0 + 0 + 0\\=&0\\ \end{split}\end{equation} \]

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