Rolle's theorem (English, name)
expansion: Rolle's theorem
Senses:
topics: calculus
mathematics
sciences
glosses: The theorem 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. In mathematical terms, if f:ℝ→ℝ is differentiable on (a,b) and f(a)=f(b) then ∃c∈(a,b):f'(c)=0.
Forms: