There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 8sqrt(5{x}^{9} + 2{x}^{10})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 8sqrt(5x^{9} + 2x^{10})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 8sqrt(5x^{9} + 2x^{10})\right)}{dx}\\=&\frac{8(5*9x^{8} + 2*10x^{9})*\frac{1}{2}}{(5x^{9} + 2x^{10})^{\frac{1}{2}}}\\=&\frac{180x^{8}}{(5x^{9} + 2x^{10})^{\frac{1}{2}}} + \frac{80x^{9}}{(5x^{9} + 2x^{10})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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