There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt(sin(x)){cos(x)}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = cos^{2}(x)sqrt(sin(x))\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( cos^{2}(x)sqrt(sin(x))\right)}{dx}\\=&-2cos(x)sin(x)sqrt(sin(x)) + \frac{cos^{2}(x)cos(x)*\frac{1}{2}}{(sin(x))^{\frac{1}{2}}}\\=&-2sin(x)cos(x)sqrt(sin(x)) + \frac{cos^{3}(x)}{2sin^{\frac{1}{2}}(x)}\\ \end{split}\end{equation} \]

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