Verify Rolle's theorem for each of the following functions :
`f(x) = e^(-x) sin x " in " [0, pi]`

Verify Rolle's theorem for each of the following functions : f(x) = sin x - sin 2x " in " [0, 2pi]

Verify Rolle's theorem for each of the following functions : f(x) = e^(-x) (sin x - cos x) " in " [(pi)/(4), (5pi)/(4)]

Verify Rolle's theorem for each of the following functions : f(x) = e^(-x) (sin x - cos x) " in " [(pi)/(4), (5pi)/(4)]

Verify Rolle's theorem for each of the following functions : f(x) = x^(2) - 4x + 3 " in " [1, 3]

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

Verify Rolle's theorem for each of the following functions : f(x) = cos 2x " in " [0, pi]

Verify Rolle's theorem for each of the following functions : f(x) = cos x " in " [-(pi)/(2), (pi)/(2)]

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

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

Check the validity of the Rolle's theorem for the following functions: f(x) = e^(-x) sin x , x in [0, pi]