There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x + \frac{1}{x})}^{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{5} + 5x^{3} + 10x + \frac{10}{x} + \frac{5}{x^{3}} + \frac{1}{x^{5}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{5} + 5x^{3} + 10x + \frac{10}{x} + \frac{5}{x^{3}} + \frac{1}{x^{5}}\right)}{dx}\\=&5x^{4} + 5*3x^{2} + 10 + \frac{10*-1}{x^{2}} + \frac{5*-3}{x^{4}} + \frac{-5}{x^{6}}\\=&5x^{4} + 15x^{2} - \frac{10}{x^{2}} - \frac{15}{x^{4}} - \frac{5}{x^{6}} + 10\\ \end{split}\end{equation} \]

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