Examine if Rolles theorem is applicable to any of the following functions. Can you say something about the converse of Rolles theorem from these example?(i) `f(x)=[x]`for `x in [5,9]`(ii) `f(x) = [x]`for `x in [-2,2]`(iii) `f(x)=x^

Examine if Rolles theorem is applicable to any of the following functions.Can you say something about the converse of Rolles theorem from these example? (i) f(x)=[x] for x in[5,9] (ii) f(x)=quad [x] for x in[-2,2] (iii) f(x)=quad (x^(2)-1) for x in[1,2]

Rolle's theorem is applicable for the function f(x) = |x-1| in [0,2] .

Rolle's theorem is not applicable to f(x) = |x| in [ -2,2] because

Rolle's theorem is not applicable to the function f(x)=|x|"for"-2 le x le2 becase

Show that Rolle's theorem is not applicable fo rthe following functions: f(x)=x^(3), interval [-1,1]

Verify Rolle's theorem for the following function :f(x)=x^(2)-4x+10 on [0,4]

Verify Rolle's theorem for the following function f(x)=x^(2)-5x+9,x in[1,4]

Verify Rolle's theorem for the following functions f(x)=sin x+cos x+5,x in[0,2 pi]

Rolle's theorem is not applicable to the function f (x) = |x| for -2 le x le 2 becaue

Verify Rolle's theorem for each of the following functions : f(x) = x ( x + 2) e^(x) "in "[-2, 1]