Question

How would I solve
\frac{x}{x^{2} + 1} + 2\arctan x = 0
?
Thanks.

Answer 1

0 works by inspection. there are no other zeros

Answer 2

Is there a method to solve it other than by inspection?

Answer 3

...thinking

Answer 4

you could graph, which is what i did

Answer 5

Alright, thanks.
I was just wondering if there was some method of working through to a solution.

Answer 6

you could also show that this is a strictly increasing function, and so only has one zero