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