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