There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -120cos({x}^{2}) + 720{x}^{2}sin({x}^{2}) + 480{x}^{4}cos({x}^{2}) - 64{x}^{6}sin({x}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -120cos(x^{2}) + 720x^{2}sin(x^{2}) + 480x^{4}cos(x^{2}) - 64x^{6}sin(x^{2})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -120cos(x^{2}) + 720x^{2}sin(x^{2}) + 480x^{4}cos(x^{2}) - 64x^{6}sin(x^{2})\right)}{dx}\\=&-120*-sin(x^{2})*2x + 720*2xsin(x^{2}) + 720x^{2}cos(x^{2})*2x + 480*4x^{3}cos(x^{2}) + 480x^{4}*-sin(x^{2})*2x - 64*6x^{5}sin(x^{2}) - 64x^{6}cos(x^{2})*2x\\=&1680xsin(x^{2}) + 3360x^{3}cos(x^{2}) - 1344x^{5}sin(x^{2}) - 128x^{7}cos(x^{2})\\ \end{split}\end{equation} \]

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