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. (i) f(x) = (x-2) (x-3)^(2) in the interval [2,3] . (ii) f(x) = x^(3) (x-1)^(2) in the interval [0,1].

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(x-4)^(2) in the interval [0,4].

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) - 5x - 6 in the interval [-1,6] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(2) - 5x - 6 in the interval [-1,6] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(3) - 7x^(2) + 16x - 12 in the interval [2,3].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(3) - 7x^(2) + 16x - 12 in the interval [2,3].