proving that f' is bounded
The problem I am trying to solve is
is a differentiable function and it has a continuous derivative. I need to prove that is bounded on where .
I have shown that if is continous on and if is a compact subset of that is also compact. But have no clue if this will help of where to go from here.
Thanks in advance
Re: proving that f' is bounded
It tells you "it has a continuous derivative..
Originally Posted by klw289
Any continuous function is bounded on a compact set.
Any interval is compact.