Applicability of rolles theorem

Discuss the applicability of Rolle's theorem, when : f(x) = x^(½) " on " [-1, 1]

Discuss the applicability of Rolle's theorem for the following functions: f(x) = 2+ (x-1)^2 , x in (0,2)

Discuss the applicability of Rolle's theorem for the following functions: f(x) = (x-1)(2x-3) , x in (1,4)

Discuss the applicability of Rolle's theorem of the following functions: f(x) =x^(2) in 2 le x le 3

Discuss the applicability of Rolle's theorem of the following functions: f(x) =[x] in the interval [-1,1]

Discuss the applicability of Rolle's theorem, when : f(x) = "cos"(1)/(x) " on [-1, 1]

Discuss the applicability of Rolle's theorem of the following functions: f(x) = 2+ (x-1)^(3//2) in the interval [0,2]

Discuss the applicability of Rolle's theorem of the following functions: f(x) = tan x in 0 le x le pi

Discuss the applicability of Rolle's theorem of the following functions: f(x) = e^(x) sin x in the interval [0,pi]