There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ {x}^{9} - 37{x}^{6} + {x}^{5} - 24{x}^{3} - 180x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{9} - 37x^{6} + x^{5} - 24x^{3} - 180x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{9} - 37x^{6} + x^{5} - 24x^{3} - 180x\right)}{dx}\\=&9x^{8} - 37*6x^{5} + 5x^{4} - 24*3x^{2} - 180\\=&9x^{8} - 222x^{5} + 5x^{4} - 72x^{2} - 180\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 9x^{8} - 222x^{5} + 5x^{4} - 72x^{2} - 180\right)}{dx}\\=&9*8x^{7} - 222*5x^{4} + 5*4x^{3} - 72*2x + 0\\=&72x^{7} - 1110x^{4} + 20x^{3} - 144x\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 72x^{7} - 1110x^{4} + 20x^{3} - 144x\right)}{dx}\\=&72*7x^{6} - 1110*4x^{3} + 20*3x^{2} - 144\\=&504x^{6} - 4440x^{3} + 60x^{2} - 144\\ \end{split}\end{equation} \]

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