There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{({({x}^{2} + 12)}^{2})x}{4}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{4}x^{5} + 6x^{3} + 36x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{4}x^{5} + 6x^{3} + 36x\right)}{dx}\\=&\frac{1}{4}*5x^{4} + 6*3x^{2} + 36\\=&\frac{5x^{4}}{4} + 18x^{2} + 36\\ \end{split}\end{equation} \]

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