There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {((x + 1)(x + 2)(3x + 1)(3x + 2))}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 729x^{12} + 8748x^{11} + 46413x^{10} + 143856x^{9} + 290007x^{8} + 400572x^{7} + 388727x^{6} + 267048x^{5} + 128892x^{4} + 42624x^{3} + 9168x^{2} + 1152x + 64\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 729x^{12} + 8748x^{11} + 46413x^{10} + 143856x^{9} + 290007x^{8} + 400572x^{7} + 388727x^{6} + 267048x^{5} + 128892x^{4} + 42624x^{3} + 9168x^{2} + 1152x + 64\right)}{dx}\\=&729*12x^{11} + 8748*11x^{10} + 46413*10x^{9} + 143856*9x^{8} + 290007*8x^{7} + 400572*7x^{6} + 388727*6x^{5} + 267048*5x^{4} + 128892*4x^{3} + 42624*3x^{2} + 9168*2x + 1152 + 0\\=&8748x^{11} + 96228x^{10} + 464130x^{9} + 1294704x^{8} + 2320056x^{7} + 2804004x^{6} + 2332362x^{5} + 1335240x^{4} + 515568x^{3} + 127872x^{2} + 18336x + 1152\\ \end{split}\end{equation} \]

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