There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(25{({x}^{3} + 4)}^{4})}{8}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{25}{8}x^{12} + 50x^{9} + 300x^{6} + 800x^{3} + 800\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{25}{8}x^{12} + 50x^{9} + 300x^{6} + 800x^{3} + 800\right)}{dx}\\=&\frac{25}{8}*12x^{11} + 50*9x^{8} + 300*6x^{5} + 800*3x^{2} + 0\\=&\frac{75x^{11}}{2} + 450x^{8} + 1800x^{5} + 2400x^{2}\\ \end{split}\end{equation} \]

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