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

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