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) = sin x + cos x "in " [0, (pi)/(2)]

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) = cos 2x " in " [0, pi]

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: (i) f(x) = sin 2x " in " [0, (pi)/(2)] (ii) f(x) = (sin x + cos x) " in " [0, (pi)/(2)] (iii) f(x) = cos 2 (x - (pi)/(4)) " in " [0, (pi)/(2)] (iv) f(x) = (sin x - sin 2x) " in " [0, pi]

Verify Rolle's theorem for each of the following functions : f(x) = x^(2) - 5x + 6 " in " [2, 3]

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