There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(1 + {x}^{2})}^{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{10} + 5x^{8} + 10x^{6} + 10x^{4} + 5x^{2} + 1\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{10} + 5x^{8} + 10x^{6} + 10x^{4} + 5x^{2} + 1\right)}{dx}\\=&10x^{9} + 5*8x^{7} + 10*6x^{5} + 10*4x^{3} + 5*2x + 0\\=&10x^{9} + 40x^{7} + 60x^{5} + 40x^{3} + 10x\\ \end{split}\end{equation} \]

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