There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(15{x}^{3}({({x}^{3} + 4)}^{4}))}{8}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{15}{8}x^{15} + 30x^{12} + 180x^{9} + 480x^{6} + 480x^{3}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{15}{8}x^{15} + 30x^{12} + 180x^{9} + 480x^{6} + 480x^{3}\right)}{dx}\\=&\frac{15}{8}*15x^{14} + 30*12x^{11} + 180*9x^{8} + 480*6x^{5} + 480*3x^{2}\\=&\frac{225x^{14}}{8} + 360x^{11} + 1620x^{8} + 2880x^{5} + 1440x^{2}\\ \end{split}\end{equation} \]

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