There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{{e}^{(5x)}}{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{5}{e}^{(5x)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{5}{e}^{(5x)}\right)}{dx}\\=&\frac{1}{5}({e}^{(5x)}((5)ln(e) + \frac{(5x)(0)}{(e)}))\\=&{e}^{(5x)}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !