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

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