There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {({({(x + 1)}^{2} + 1)}^{2} + 1)}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{8} + 8x^{7} + 32x^{6} + 80x^{5} + 138x^{4} + 168x^{3} + 144x^{2} + 80x + 25\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{8} + 8x^{7} + 32x^{6} + 80x^{5} + 138x^{4} + 168x^{3} + 144x^{2} + 80x + 25\right)}{dx}\\=&8x^{7} + 8*7x^{6} + 32*6x^{5} + 80*5x^{4} + 138*4x^{3} + 168*3x^{2} + 144*2x + 80 + 0\\=&8x^{7} + 56x^{6} + 192x^{5} + 400x^{4} + 552x^{3} + 504x^{2} + 288x + 80\\ \end{split}\end{equation} \]

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