There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{{x}^{6}}{cos(x)} + sin(arctan(x))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{6}}{cos(x)} + sin(arctan(x))\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{x^{6}}{cos(x)} + sin(arctan(x))\right)}{dx}\\=&\frac{6x^{5}}{cos(x)} + \frac{x^{6}sin(x)}{cos^{2}(x)} + cos(arctan(x))(\frac{(1)}{(1 + (x)^{2})})\\=&\frac{6x^{5}}{cos(x)} + \frac{x^{6}sin(x)}{cos^{2}(x)} + \frac{cos(arctan(x))}{(x^{2} + 1)}\\ \end{split}\end{equation} \]

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