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

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