Verify the identity: arctanx+ arctan (1/x)=( ∏/2) using calculus theory. differentiate the left hand side of the identity.
Follow Math Help Forum on Facebook and Google+
If then, . As is connected, then is constant in . But so in . Similar arguments for .
I don't get it.
Originally Posted by LAPOSH42 I don't get it. The derivative for all . So the function must be constant on its domain.
Originally Posted by Plato The derivative for all . So the function must be constant on its domain. Take as a counterexample: Then, for all on its domain and is not constant. As I said in answer #2 the domain must be connected, or equivalently (in ) an interval.
Originally Posted by FernandoRevilla Take as a counterexample: Then, for all on its domain and is not constant. As I said in answer #2 the domain must be connected, or equivalently (in ) an interval. Yes, I understand that. It was a quick reply to that particular problem. I should have mentioned the two different connected domain . If fact, the function is on
View Tag Cloud