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