There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ cos({x}^{3})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = cos(x^{3})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( cos(x^{3})\right)}{dx}\\=&-sin(x^{3})*3x^{2}\\=&-3x^{2}sin(x^{3})\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -3x^{2}sin(x^{3})\right)}{dx}\\=&-3*2xsin(x^{3}) - 3x^{2}cos(x^{3})*3x^{2}\\=&-6xsin(x^{3}) - 9x^{4}cos(x^{3})\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -6xsin(x^{3}) - 9x^{4}cos(x^{3})\right)}{dx}\\=&-6sin(x^{3}) - 6xcos(x^{3})*3x^{2} - 9*4x^{3}cos(x^{3}) - 9x^{4}*-sin(x^{3})*3x^{2}\\=&-6sin(x^{3}) - 54x^{3}cos(x^{3}) + 27x^{6}sin(x^{3})\\ \end{split}\end{equation} \]

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