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

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