Continuity and Differentiability|Lagranges's mean value theorem

Discuss the applicability of Lagranges mean value theorem for the function f(x)=|x| on [-1,\ 1] .

Find the value of c prescribed by Lagranges mean value theorem for the function f(x)=sqrt(x^2-4) defined on [2,\ 3] .

Discuss the applicability of Lagrange's Mean Value Theorem to: f(x)=x(x-1)(x-2)" in "[0,1/2] .

Discuss the applicability of Lagrange's Mean Value Theorem to the following : f(x)=x(2-x)" in "[0,1]

Discuss the applicability of Lagrange's Mean Value Theorem to the following : f(x)=x^(2)-1" on "[1,2] .

Discuss the applicability of Lagrange's Mean Value Theorem to the following : f(x)=x^(2)-4x-3" in "[1,4]

Discuss the applicability of Lagrange's Mean Value Theorem to the following : f(x)=2x-x^(2)" in "[0,1]

In the interval [0, 2] , on which of the following function Lagrange's mean value theorem is not applicable ?

Discuss the applicability of Lagrange's Mean Value Theorem to the following : f(x)=x^(2)" on "[2,4]

Discuss the applicability of Lagrange's Mean Value Theorem to the following : f(x)=x^(2)-2x+3" in "[0,4]