There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 4{\frac{1}{x}}^{3} + 7{x}^{4} - \frac{2}{x} + 12\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{4}{x^{3}} + 7x^{4} - \frac{2}{x} + 12\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{4}{x^{3}} + 7x^{4} - \frac{2}{x} + 12\right)}{dx}\\=&\frac{4*-3}{x^{4}} + 7*4x^{3} - \frac{2*-1}{x^{2}} + 0\\=&\frac{-12}{x^{4}} + 28x^{3} + \frac{2}{x^{2}}\\ \end{split}\end{equation} \]

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