info prev up next book cdrom email home

Rolle's Theorem

Let $f$ be differentiable on $(a,b)$ and continuous on $[a,b]$. If $f(a) = f(b) = 0$, then there is at least one point $c\in (a,b)$ where $f'(c) = 0$.

See also Fixed Point Theorem, Mean-Value Theorem




© 1996-9 Eric W. Weisstein
1999-05-25