There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {sqrt(sin(x))}^{2} + ({a}^{2} - {x}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(sin(x))^{2} + a^{2} - x^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sqrt(sin(x))^{2} + a^{2} - x^{2}\right)}{dx}\\=&\frac{2(sin(x))^{\frac{1}{2}}cos(x)*\frac{1}{2}}{(sin(x))^{\frac{1}{2}}} + 0 - 2x\\=&cos(x) - 2x\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！