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(x+3)e^(-x/2) in [-3,0].

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

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

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

Verify mean value theorem for the function f(x)=x^(2) on [2,4]

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

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