There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2cos({x}^{2}) - 4{x}^{2}sin({x}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2cos(x^{2}) - 4x^{2}sin(x^{2})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2cos(x^{2}) - 4x^{2}sin(x^{2})\right)}{dx}\\=&2*-sin(x^{2})*2x - 4*2xsin(x^{2}) - 4x^{2}cos(x^{2})*2x\\=&-12xsin(x^{2}) - 8x^{3}cos(x^{2})\\ \end{split}\end{equation} \]

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