There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 10x - \frac{3{(16xx - 4x)}^{\frac{1}{2}}}{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 10x - \frac{3}{2}(16x^{2} - 4x)^{\frac{1}{2}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 10x - \frac{3}{2}(16x^{2} - 4x)^{\frac{1}{2}}\right)}{dx}\\=&10 - \frac{3}{2}(\frac{\frac{1}{2}(16*2x - 4)}{(16x^{2} - 4x)^{\frac{1}{2}}})\\=& - \frac{24x}{(16x^{2} - 4x)^{\frac{1}{2}}} + \frac{3}{(16x^{2} - 4x)^{\frac{1}{2}}} + 10\\ \end{split}\end{equation} \]

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