For `f(x)=(x-1)^(2/3)` ,the mean value theorem is applicable to f(x) in the interval

Statement I for f(x)={{:((1)/(2)-x",",xlt(1)/(2)),(((1)/(2)-x)^(2)",",xge(1)/(2)):} mean value theorem is applicable in the interval [0, 1] Statement II For application of mean value theorem, f(x) must be continuous in [0,1] and differentiable in (0, 1).

Lagrange's mean value theorem is not applicable to f(x) in [1,4] where f(x) =

Verify the mean value theorem for the function f(x)=x^(2) in the interval [2,4]

Let f(x)=1+|x-2|+sin x, then lagrange's means value theorem is applicable for f(x) in.

Verify mean value theorem for the function f(x)=x^(2)+4x-3 in the interval [-2,2]

The Lagrange's mean value theorem is not applicable to f(x) in [2,4], if f(x) is

Check whether Lagrange's Mean Value Theorem is applicable on : f(x)=sinx+cosx in interval [0,pi/2] .

Show that Lagrange's mean value theorem does not holdior the function f(x) = [x] in the interval [-1,1].

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

Examine the validity of Lagrangel's mean value theorem for the function f(x)=x^(2/3) in the interval [-1,1] .