Exercises
[164]Let \(I⊂ ℝ\) be an open interval. Let \(f : I → ℝ\) be differentiable. Show that \(f'\) is bounded on \(I\), if and only if \(f\) is Lipschitz continuous.
[164]Let \(I⊂ ℝ\) be an open interval. Let \(f : I → ℝ\) be differentiable. Show that \(f'\) is bounded on \(I\), if and only if \(f\) is Lipschitz continuous.