There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x + 1)}^{2}(x + 2){(x + 3)}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{6} + 13x^{5} + 68x^{4} + 182x^{3} + 261x^{2} + 189x + 54\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{6} + 13x^{5} + 68x^{4} + 182x^{3} + 261x^{2} + 189x + 54\right)}{dx}\\=&6x^{5} + 13*5x^{4} + 68*4x^{3} + 182*3x^{2} + 261*2x + 189 + 0\\=&6x^{5} + 65x^{4} + 272x^{3} + 546x^{2} + 522x + 189\\ \end{split}\end{equation} \]

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