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

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