Check whether Lagrange 's mean value theorem is applicable on : `f (x) = sin x + cos x in interval [0,pi/2]`

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

Verify Lagrange's mean value theorem for the function f(x) = x (x - l ) (x - 2) in the interval [0,1/2] .

Verify Lagrange's Mean value theorem for the function f(x) = x^2 + x - 1 in the interval [0,4]

Verify Lagrange's Mean Value Theorem for the function : f(x) = x (x - 1) (x - 2) in the interval [0,1/2]

Verify Rolle's theorem for function f(x) = sin x + cos x - 1 in the interval [0,pi/2] .

Verify Rolle's theorem for function f(x) = sin x + cos x in the interval [0,2pi] .

Verify Rolle's Theorem for the function: f(x) = sin^4 x + cos^4 x in the interval [0,pi/2]

Verify Lagrange's mean value theorem for the following functions f(x) = sin x in the interval [pi/2, (5pi)/2]

The value of 'c' for which Lagrange's Mean value Theorem is applicable to f (x) = x^(1//2) in [0,4] is

Verify Lagrange's mean value theorem for the following functions f(x) = x^2 + x - 1 in the interval [0,4]