Definition of Rolle's theorem in US English:

Rolle's theorem

(also Rolle theorem)


  • A theorem in analysis stating that if a differentiable function has the same value at two different points, there is at least one point situated between them for which the derivative of the function is equal to zero.


Mid 19th century. In some forms from the genitive of the name of Michel Rolle, French mathematician + theorem, after German Rolle's Satz. In some forms from the name of Michel Rolle + theorem.


Rolle's theorem

/ˈrɒlz ˌθɪərəm/