anonymous 3 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. anonymous

get rid of the 1 for a start

2. anonymous

Yup, just did that

3. anonymous

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

4. anonymous

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. anonymous

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

6. anonymous

oh it was a subtraction, no matter works the same

7. anonymous

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