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

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