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## Homework Statement

Show that the equation arctan(x) = x^2 have at least one solution. Then argue why the equation only has one, positive solution r.

## Homework Equations

## The Attempt at a Solution

I know how to prove that the equation has at least one solution (IVT), but I do not know how to show the second part. If the derivative is strictly positive/negative I know the answer, but that is not the case here.