There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2{x}^{0.5} + 4{x}^{4} - \frac{5}{({x}^{0.333333})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2x^{\frac{1}{2}} + 4x^{4} - \frac{5}{x^{\frac{333333}{1000000}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2x^{\frac{1}{2}} + 4x^{4} - \frac{5}{x^{\frac{333333}{1000000}}}\right)}{dx}\\=&\frac{2*0.5}{x^{\frac{1}{2}}} + 4*4x^{3} - \frac{5*-0.333333}{x^{\frac{1333333}{1000000}}}\\ \end{split}\end{equation} \]

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