ROLLE'S THEOREM


Meaning of ROLLE'S THEOREM in English

Special case of the mean-value theorem of differential calculus.

It states that if a continuous curve passes through the x -axis twice within a given interval and has a unique tangent line at every point of that interval, then somewhere between the two points of interception it has a tangent parallel to the x -axis.

Britannica Concise Encyclopedia.      Краткая энциклопедия Британика.