The Rolle's theorem is applicable in the interval −1≤x≤1 for the function
Examine if Rolle's theorem is applicable to any of the following functions. Can you say something about the converse of Rolle's theorem from these example ?
(i) f(x)=[x]for x ϵ [5,9]
(i) f(x)=[x]for x ϵ [−2,2]
(iii) f(x)=x2−1for x ϵ [5,9].
Examine if Rolle’s Theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle’s Theorem from these examples?
(i)
(ii)
(iii)