f'(t) = (1-t^2)/(1+t^2)^2. I found the critical points to be +/- 1. I need to test them so that I can find a local max and local min, so I find a number before and after each point to see if there is a sign change. For some reason, my checks always so that the critical point candidates do not work. Can any one help? My original function is f(t) = t/(1+t^2).

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Did you use f'(2) and f'(-2) to come to your conclusion about the relative minimum?

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