Verify Rolle's theorem for the following functions in the given intervals.
f(x) = sinx + cos x in the interval `[0 , pi//2]`.

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) = sin 3x in the interval [0,pi] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sin 3x in the interval [0,pi] .

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

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

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

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

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].