Past exam of the mathematics course of the University of Cambridge / 2013 / ia / Paper 1 / 11E / i

Rolle's theorem states that, if $f$ is continuous on $[a,b]$, differentiable on $(a,b)$, $a<b$, and $f(a)=f(b)$, thenThe endpoint equality and both regularity hypotheses are part of the assertion.