There are 1 questions in this calculation: for each question, the 1 derivative of r is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ a(\frac{({2}^{r} - 1)}{r}) + b(\frac{1}{r})\ with\ respect\ to\ r：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{a{2}^{r}}{r} - \frac{a}{r} + \frac{b}{r}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{a{2}^{r}}{r} - \frac{a}{r} + \frac{b}{r}\right)}{dr}\\=&\frac{a*-{2}^{r}}{r^{2}} + \frac{a({2}^{r}((1)ln(2) + \frac{(r)(0)}{(2)}))}{r} - \frac{a*-1}{r^{2}} + \frac{b*-1}{r^{2}}\\=&\frac{a{2}^{r}ln(2)}{r} - \frac{a{2}^{r}}{r^{2}} + \frac{a}{r^{2}} - \frac{b}{r^{2}}\\ \end{split}\end{equation} \]

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