There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(cos(arctan({x}^{2})))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(cos(arctan(x^{2})))\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(cos(arctan(x^{2})))\right)}{dx}\\=&\frac{-sin(arctan(x^{2}))(\frac{(2x)}{(1 + (x^{2})^{2})})}{(cos(arctan(x^{2})))}\\=&\frac{-2xsin(arctan(x^{2}))}{(x^{4} + 1)cos(arctan(x^{2}))}\\ \end{split}\end{equation} \]

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