There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(sin(x))}^{2} + {(cos(x))}^{2} + {({(sin(x))}^{2} - {(cos(x))}^{2})}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 2sin^{2}(x)cos^{2}(x) + cos^{2}(x) + sin^{4}(x) + sin^{2}(x) + cos^{4}(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - 2sin^{2}(x)cos^{2}(x) + cos^{2}(x) + sin^{4}(x) + sin^{2}(x) + cos^{4}(x)\right)}{dx}\\=& - 2*2sin(x)cos(x)cos^{2}(x) - 2sin^{2}(x)*-2cos(x)sin(x) + -2cos(x)sin(x) + 4sin^{3}(x)cos(x) + 2sin(x)cos(x) + -4cos^{3}(x)sin(x)\\=& - 8sin(x)cos^{3}(x) + 8sin^{3}(x)cos(x)\\ \end{split}\end{equation} \]

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