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

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