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

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