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

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