There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -sin(x)cos(sin(x)) - sin(sin(x))cos(2)(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -sin(x)cos(sin(x)) - xsin(sin(x))cos(2)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -sin(x)cos(sin(x)) - xsin(sin(x))cos(2)\right)}{dx}\\=&-cos(x)cos(sin(x)) - sin(x)*-sin(sin(x))cos(x) - sin(sin(x))cos(2) - xcos(sin(x))cos(x)cos(2) - xsin(sin(x))*-sin(2)*0\\=&-cos(x)cos(sin(x)) + sin(x)sin(sin(x))cos(x) - sin(sin(x))cos(2) - xcos(x)cos(sin(x))cos(2)\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !