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

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