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