Discuss the applicability of Rolle's theorem, when :
`f(x) = 2 + (x -1)^(⅔) " on " [0, 2]`

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

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

Discuss the applicability of Rolle's theorem, when : f(x) = (x -1) (2x -3), " where " 1 le x le 3

Discuss the applicability of Rolle's theorem to the functions : (i) f(x) = x^(2) "in " [1, 2] (ii) f(x) = x^(2//3) " in " [-1, 1]

Discuss the applicability of Rolles theorem for f(x)=|x| on [-1,1]

Discuss the applicability of Rolle's theorem, when : f(x) = [x] " on " [-1, 1] where [x] denotes the greatest integer not exceeding x

Discuss the applicability of Rolles theorem for f(x)=tan x on [0,pi]

Discuss the applicability of Rolle's theorem to the function f(x)=x^(2)+1" on "[-2,2] .

Discuss the applicability of Rolle's theorem to the function: f(x) = {{:(x^(2) +1, "when " 0 le x lt 1),(3-x, "when " 1 lt x le 2):}

Discuss the applicability of Rolle's theorem on the function f(x) = {((x^(2) + 1),"when " 0 le x le 1),((3 -x),"when " 1 lt x le 2):}