There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2x{(x + 1)}^{5}{({x}^{2} + 2x + 1)}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2x^{10} + 18x^{9} + 72x^{8} + 168x^{7} + 252x^{6} + 252x^{5} + 168x^{4} + 72x^{3} + 18x^{2} + 2x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2x^{10} + 18x^{9} + 72x^{8} + 168x^{7} + 252x^{6} + 252x^{5} + 168x^{4} + 72x^{3} + 18x^{2} + 2x\right)}{dx}\\=&2*10x^{9} + 18*9x^{8} + 72*8x^{7} + 168*7x^{6} + 252*6x^{5} + 252*5x^{4} + 168*4x^{3} + 72*3x^{2} + 18*2x + 2\\=&20x^{9} + 162x^{8} + 576x^{7} + 1176x^{6} + 1512x^{5} + 1260x^{4} + 672x^{3} + 216x^{2} + 36x + 2\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！