There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {({x}^{2} + 1)}^{3}{(x + 2)}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{8} + 4x^{7} + 7x^{6} + 12x^{5} + 15x^{4} + 12x^{3} + 13x^{2} + 4x + 4\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{8} + 4x^{7} + 7x^{6} + 12x^{5} + 15x^{4} + 12x^{3} + 13x^{2} + 4x + 4\right)}{dx}\\=&8x^{7} + 4*7x^{6} + 7*6x^{5} + 12*5x^{4} + 15*4x^{3} + 12*3x^{2} + 13*2x + 4 + 0\\=&8x^{7} + 28x^{6} + 42x^{5} + 60x^{4} + 60x^{3} + 36x^{2} + 26x + 4\\ \end{split}\end{equation} \]

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