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

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