Verify Rolle's theorem for the function sinx-sin2x on `[0,pi]`

Verify Rolle's theroem for the function x^2-1 on [-1,1] .

The constant 'c' of Rolle's theorem for the function f(x) =sin x in [0,2pi] is

Verify Rolle's theorem for the function y=f(x)=x^2+4 on [-3,3]

Verify Rolle's theorem for the functions (x^(2)-1)(x-2) on [-1,2]. Find the point in the interval where the derivative vanishes.

Verify Rolle's theorem for the function f(x) = x^2 - 5 x + 6 in the interval [-3,8]

Verify Rolle's theorem for the function f(x)=x(x+3)e^(-x/2) in [-3,0].

Verify Rolle's theorem for the function y= x^(2)+2, a= -2" and "b=2 .

Verify Rolles's theorem for the function f:[-3,8] toR be defined by f(x)=x^2-5x+6 .