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

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