# Rolle's theorem

Definition from Wiktionary, the free dictionary

## English[edit]

### Etymology[edit]

Named after Michel Rolle, though Rolle's 1691 proof covered only the case of polynomial functions and did not use the methods of differential calculus.

### Proper noun[edit]

- (calculus) A theorem stating that any real-valued differentiable function that attains equal values at two distinct points must have a point somewhere between them where the first derivative (the slope of the tangent line to the graph of the function) is zero.