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