There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{1}{10}x - \frac{2}{5}{x}^{\frac{1}{2}} + \frac{1}{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{10}x - \frac{2}{5}x^{\frac{1}{2}} + \frac{1}{5}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{10}x - \frac{2}{5}x^{\frac{1}{2}} + \frac{1}{5}\right)}{dx}\\=&\frac{1}{10} - \frac{\frac{2}{5}*\frac{1}{2}}{x^{\frac{1}{2}}} + 0\\=& - \frac{1}{5x^{\frac{1}{2}}} + \frac{1}{10}\\ \end{split}\end{equation} \]

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