Verify Rolle's theorem for the following functions in the given intervals.
f(x) = `x(x-4)^(2)` in the interval [0,4].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(2) in the interval [-2,2] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(2) in the interval [-2,2] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(2) - 6x + 8 in the interval [2,4].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(2) - 6x + 8 in the interval [2,4].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sin^(2) x in the interval [0,pi] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sin^(2) x in the interval [0,pi] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = (x-2) (x-4) (x-6) , in the interval [2,6].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = (x-2) (x-4) (x-6) , in the interval [2,6].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = (x-2)^(4) (x-3)^(3) in the interval [2,3].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = (x-2)^(4) (x-3)^(3) in the interval [2,3].