Verify Rolle's theorem for each of the following functions :
`f(x) = (x -1) (x -2) (x -3) " in " [1, 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^(2) - 3x - 18 " in " [-3, 6]

Verify Rolle's theorem for each of the following functions : f(x) = x^(3) - 7x^(2) + 16x - 12 " in " [2, 3]

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) = sqrt(1 -x^(2)) " in " [-1, 1]

Verify Rolle's theorem for each of the following functions : f(x) = x^(2) - x - 12 " in " -3, 4]

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

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) = x^(2) - 5x + 6 " in " [2, 3]