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