## Study23 2 years ago How would I further simplify the following? $$\ \large (1)(r^2+1)^{-\frac{1}{2}}+r(-\frac{1}{2}(r^2+1))^{-\frac{3}{2}}$$

1. satellite73

get rid of the 1 for a start

2. Study23

Yup, just did that

3. satellite73

i bet this is some sort of derivative from a produce rule maybe

4. satellite73

and you took literally the power rule maybe it would be best to write as $\frac{1}{\sqrt{r^2+1}}+\frac{r}{2\sqrt{r+1}^3}$

5. satellite73

now if you want to add these up, multiply the first fraction top and bottom by $2(r^2+1)$

6. satellite73

oh it was a subtraction, no matter works the same

7. Study23

@satellite73 Yup! It's from a product rule! Nice!