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

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