There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{10}{({x}^{\frac{3}{2}})} - \frac{8}{({x}^{\frac{6}{5}})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{10}{x^{\frac{3}{2}}} - \frac{8}{x^{\frac{6}{5}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{10}{x^{\frac{3}{2}}} - \frac{8}{x^{\frac{6}{5}}}\right)}{dx}\\=&\frac{10*\frac{-3}{2}}{x^{\frac{5}{2}}} - \frac{8*\frac{-6}{5}}{x^{\frac{11}{5}}}\\=&\frac{-15}{x^{\frac{5}{2}}} + \frac{48}{5x^{\frac{11}{5}}}\\ \end{split}\end{equation} \]

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