Verify the conditions of Lagrange's mean value theorem for the function `x^2-1` on [2,3]

State Lagrange's mean value theorem.

Define Lagrange's Mean value theorem.

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

The constant c of the Lagrange's mean value theorem for the function f(x)=1+x^2 on [1,2] is

Verify Rolle's theroem for the function x^2-1 on [-1,1] .

Lagrange's mean value theorem cannot be applied for

Define Rolles mean value theorem.

Verify Rolle's theorem for the function y=f(x)=x^2+4 on [-3,3]