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

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