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

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