- #1
omri3012
- 62
- 0
Hallo.
If we consider Rolle's Theorem:
"If f is continuous on [a, b], differentiable in
(a,b), and f (a) = f (b), then there exists a point c in (a, b) where f'(c) = 0."
Why do we need to state continuity of f in interval and differentiability of f in open segment? Why can't we say f differentiable on [a,b]?
Thanks,
Omri
If we consider Rolle's Theorem:
"If f is continuous on [a, b], differentiable in
(a,b), and f (a) = f (b), then there exists a point c in (a, b) where f'(c) = 0."
Why do we need to state continuity of f in interval and differentiability of f in open segment? Why can't we say f differentiable on [a,b]?
Thanks,
Omri