There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ xe^{{x}^{3}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xe^{x^{3}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xe^{x^{3}}\right)}{dx}\\=&e^{x^{3}} + xe^{x^{3}}*3x^{2}\\=&e^{x^{3}} + 3x^{3}e^{x^{3}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( e^{x^{3}} + 3x^{3}e^{x^{3}}\right)}{dx}\\=&e^{x^{3}}*3x^{2} + 3*3x^{2}e^{x^{3}} + 3x^{3}e^{x^{3}}*3x^{2}\\=&12x^{2}e^{x^{3}} + 9x^{5}e^{x^{3}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 12x^{2}e^{x^{3}} + 9x^{5}e^{x^{3}}\right)}{dx}\\=&12*2xe^{x^{3}} + 12x^{2}e^{x^{3}}*3x^{2} + 9*5x^{4}e^{x^{3}} + 9x^{5}e^{x^{3}}*3x^{2}\\=&24xe^{x^{3}} + 81x^{4}e^{x^{3}} + 27x^{7}e^{x^{3}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 24xe^{x^{3}} + 81x^{4}e^{x^{3}} + 27x^{7}e^{x^{3}}\right)}{dx}\\=&24e^{x^{3}} + 24xe^{x^{3}}*3x^{2} + 81*4x^{3}e^{x^{3}} + 81x^{4}e^{x^{3}}*3x^{2} + 27*7x^{6}e^{x^{3}} + 27x^{7}e^{x^{3}}*3x^{2}\\=&24e^{x^{3}} + 396x^{3}e^{x^{3}} + 432x^{6}e^{x^{3}} + 81x^{9}e^{x^{3}}\\ \end{split}\end{equation} \]

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