There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5{x}^{3} - 8{\frac{1}{x}}^{4}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5x^{3} - \frac{8}{x^{4}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 5x^{3} - \frac{8}{x^{4}}\right)}{dx}\\=&5*3x^{2} - \frac{8*-4}{x^{5}}\\=&15x^{2} + \frac{32}{x^{5}}\\ \end{split}\end{equation} \]

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