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

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